diff --git a/CHANGELOG.md b/CHANGELOG.md
index 89843c0a..8e74f4b2 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -5,6 +5,12 @@ All notable changes to this project will be documented in this file.
 The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/),
 and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html).
 
+## Unreleased
+
+### Fixed
+
+- Markdown table rendering issue with inline styles and links https://github.com/Textualize/rich/issues/3115
+
 ## [13.5.2] - 2023-08-01
 
 ### Fixed
diff --git a/rich/markdown.py b/rich/markdown.py
index 704da301..86edbfeb 100644
--- a/rich/markdown.py
+++ b/rich/markdown.py
@@ -314,7 +314,7 @@ class TableDataElement(MarkdownElement):
 
     @classmethod
     def create(cls, markdown: "Markdown", token: Token) -> "MarkdownElement":
-        style = str(token.attrs.get("style" "")) or ""
+        style = str(token.attrs.get("style")) or ""
 
         justify: JustifyMethod
         if "text-align:right" in style:
@@ -330,15 +330,13 @@ class TableDataElement(MarkdownElement):
         return cls(justify=justify)
 
     def __init__(self, justify: JustifyMethod) -> None:
-        self.content: TextType = ""
+        self.content: Text = Text("", justify=justify)
         self.justify = justify
 
     def on_text(self, context: "MarkdownContext", text: TextType) -> None:
-        plain = text.plain if isinstance(text, Text) else text
-        style = text.style if isinstance(text, Text) else ""
-        self.content = Text(
-            plain, justify=self.justify, style=context.style_stack.current
-        )
+        text = Text(text) if isinstance(text, str) else text
+        text.stylize(context.current_style)
+        self.content.append_text(text)
 
 
 class ListElement(MarkdownElement):
diff --git a/tests/test_markdown.py b/tests/test_markdown.py
index 1321dcea..08c81736 100644
--- a/tests/test_markdown.py
+++ b/tests/test_markdown.py
@@ -121,7 +121,7 @@ def test_markdown_table():
         """\
 | Year |                      Title                       | Director          |  Box Office (USD) |
 |------|:------------------------------------------------:|:------------------|------------------:|
-| 1982 |            *E.T. the Extra-Terrestrial*            | Steven Spielberg  |    $792.9 million |
+| 1982 |            *E.T. the Extra-Terrestrial*          | Steven Spielberg  |    $792.9 million |
 | 1980 |  Star Wars: Episode V – The Empire Strikes Back  | Irvin Kershner    |    $538.4 million |
 | 1983 |    Star Wars: Episode VI – Return of the Jedi    | Richard Marquand  |    $475.1 million |
 | 1981 |             Raiders of the Lost Ark              | Steven Spielberg  |    $389.9 million |
@@ -129,7 +129,40 @@ def test_markdown_table():
 """
     )
     result = render(markdown)
-    expected = "\n                                                                                               \n \x1b[1m \x1b[0m\x1b[1mYear\x1b[0m\x1b[1m \x1b[0m \x1b[1m \x1b[0m\x1b[1m                    Title                     \x1b[0m\x1b[1m \x1b[0m \x1b[1m \x1b[0m\x1b[1mDirector        \x1b[0m\x1b[1m \x1b[0m \x1b[1m \x1b[0m\x1b[1mBox Office (USD)\x1b[0m\x1b[1m \x1b[0m \n ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ \n  1982   \x1b[3m          E.T. the Extra-Terrestrial          \x1b[0m   Steven Spielberg     $792.9 million  \n  1980   Star Wars: Episode V – The Empire Strikes Back   Irvin Kershner       $538.4 million  \n  1983     Star Wars: Episode VI – Return of the Jedi     Richard Marquand     $475.1 million  \n  1981              Raiders of the Lost Ark               Steven Spielberg     $389.9 million  \n  1984        Indiana Jones and the Temple of Doom        Steven Spielberg     $333.1 million  \n                                                                                               \n"
+    expected = "\n                                                                                               \n \x1b[1m \x1b[0m\x1b[1mYear\x1b[0m\x1b[1m \x1b[0m \x1b[1m \x1b[0m\x1b[1m                    Title                     \x1b[0m\x1b[1m \x1b[0m \x1b[1m \x1b[0m\x1b[1mDirector        \x1b[0m\x1b[1m \x1b[0m \x1b[1m \x1b[0m\x1b[1mBox Office (USD)\x1b[0m\x1b[1m \x1b[0m \n ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ \n  1982             \x1b[3mE.T. the Extra-Terrestrial\x1b[0m             Steven Spielberg     $792.9 million  \n  1980   Star Wars: Episode V – The Empire Strikes Back   Irvin Kershner       $538.4 million  \n  1983     Star Wars: Episode VI – Return of the Jedi     Richard Marquand     $475.1 million  \n  1981              Raiders of the Lost Ark               Steven Spielberg     $389.9 million  \n  1984        Indiana Jones and the Temple of Doom        Steven Spielberg     $333.1 million  \n                                                                                               \n"
+    assert result == expected
+
+
+def test_inline_styles_in_table():
+    """Regression test for https://github.com/Textualize/rich/issues/3115"""
+    markdown = Markdown(
+        """\
+| Year | This **column** displays _the_ movie _title_ ~~description~~ | Director          |  Box Office (USD) |
+|------|:----------------------------------------------------------:|:------------------|------------------:|
+| 1982 | *E.T. the Extra-Terrestrial* ([Wikipedia article](https://en.wikipedia.org/wiki/E.T._the_Extra-Terrestrial)) | Steven Spielberg  |    $792.9 million |
+| 1980 |  Star Wars: Episode V – The *Empire* **Strikes** ~~Back~~  | Irvin Kershner    |    $538.4 million |
+"""
+    )
+    result = render(markdown)
+    expected = "\n                                                                                                 \n \x1b[1m \x1b[0m\x1b[1mYear\x1b[0m\x1b[1m \x1b[0m \x1b[1m \x1b[0m\x1b[1mThis \x1b[0m\x1b[1mcolumn\x1b[0m\x1b[1m displays \x1b[0m\x1b[1;3mthe\x1b[0m\x1b[1m movie \x1b[0m\x1b[1;3mtitle\x1b[0m\x1b[1m \x1b[0m\x1b[1;9mdescription\x1b[0m\x1b[1m \x1b[0m \x1b[1m \x1b[0m\x1b[1mDirector        \x1b[0m\x1b[1m \x1b[0m \x1b[1m \x1b[0m\x1b[1mBox Office (USD)\x1b[0m\x1b[1m \x1b[0m \n ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ \n  1982    \x1b[3mE.T. the Extra-Terrestrial\x1b[0m (\x1b]8;id=0;foo\x1b\\\x1b[4;34mWikipedia article\x1b[0m\x1b]8;;\x1b\\)    Steven Spielberg     $792.9 million  \n  1980    Star Wars: Episode V – The \x1b[3mEmpire\x1b[0m \x1b[1mStrikes\x1b[0m \x1b[9mBack\x1b[0m    Irvin Kershner       $538.4 million  \n                                                                                                 \n"
+    assert result == expected
+
+
+def test_inline_styles_with_justification():
+    """Regression test for https://github.com/Textualize/rich/issues/3115
+
+    In particular, this tests the interaction between the change that was made to fix
+    #3115 and column text justification.
+    """
+    markdown = Markdown(
+        """\
+| left | center | right |
+| :- | :-: | -: |
+| This is a long row | because it contains | a fairly long sentence. |
+| a*b* _c_ ~~d~~ e | a*b* _c_ ~~d~~ e | a*b* _c_ ~~d~~ e |"""
+    )
+    result = render(markdown)
+    expected = "\n                                                                      \n \x1b[1m \x1b[0m\x1b[1mleft              \x1b[0m\x1b[1m \x1b[0m \x1b[1m \x1b[0m\x1b[1m      center       \x1b[0m\x1b[1m \x1b[0m \x1b[1m \x1b[0m\x1b[1m                  right\x1b[0m\x1b[1m \x1b[0m \n ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ \n  This is a long row   because it contains   a fairly long sentence.  \n  a\x1b[3mb\x1b[0m \x1b[3mc\x1b[0m \x1b[9md\x1b[0m e                  a\x1b[3mb\x1b[0m \x1b[3mc\x1b[0m \x1b[9md\x1b[0m e                        a\x1b[3mb\x1b[0m \x1b[3mc\x1b[0m \x1b[9md\x1b[0m e  \n                                                                      \n"
     assert result == expected