diff --git a/changelog.d/16588.misc b/changelog.d/16588.misc
new file mode 100644
index 0000000000..c12b6cfc28
--- /dev/null
+++ b/changelog.d/16588.misc
@@ -0,0 +1 @@
+Bump twisted from 23.8.0 to 23.10.0.
diff --git a/poetry.lock b/poetry.lock
index 00f5b4a20a..334005241e 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -2972,13 +2972,13 @@ urllib3 = ">=1.26.0"
 
 [[package]]
 name = "twisted"
-version = "23.8.0"
+version = "23.10.0"
 description = "An asynchronous networking framework written in Python"
 optional = false
-python-versions = ">=3.7.1"
+python-versions = ">=3.8.0"
 files = [
-    {file = "twisted-23.8.0-py3-none-any.whl", hash = "sha256:b8bdba145de120ffb36c20e6e071cce984e89fba798611ed0704216fb7f884cd"},
-    {file = "twisted-23.8.0.tar.gz", hash = "sha256:3c73360add17336a622c0d811c2a2ce29866b6e59b1125fd6509b17252098a24"},
+    {file = "twisted-23.10.0-py3-none-any.whl", hash = "sha256:4ae8bce12999a35f7fe6443e7f1893e6fe09588c8d2bed9c35cdce8ff2d5b444"},
+    {file = "twisted-23.10.0.tar.gz", hash = "sha256:987847a0790a2c597197613686e2784fd54167df3a55d0fb17c8412305d76ce5"},
 ]
 
 [package.dependencies]
@@ -2991,19 +2991,18 @@ incremental = ">=22.10.0"
 pyopenssl = {version = ">=21.0.0", optional = true, markers = "extra == \"tls\""}
 service-identity = {version = ">=18.1.0", optional = true, markers = "extra == \"tls\""}
 twisted-iocpsupport = {version = ">=1.0.2,<2", markers = "platform_system == \"Windows\""}
-typing-extensions = ">=3.10.0"
+typing-extensions = ">=4.2.0"
 zope-interface = ">=5"
 
 [package.extras]
-all-non-platform = ["twisted[conch,contextvars,http2,serial,test,tls]", "twisted[conch,contextvars,http2,serial,test,tls]"]
+all-non-platform = ["twisted[conch,http2,serial,test,tls]", "twisted[conch,http2,serial,test,tls]"]
 conch = ["appdirs (>=1.4.0)", "bcrypt (>=3.1.3)", "cryptography (>=3.3)"]
-contextvars = ["contextvars (>=2.4,<3)"]
 dev = ["coverage (>=6b1,<7)", "pyflakes (>=2.2,<3.0)", "python-subunit (>=1.4,<2.0)", "twisted[dev-release]", "twistedchecker (>=0.7,<1.0)"]
-dev-release = ["pydoctor (>=23.4.0,<23.5.0)", "pydoctor (>=23.4.0,<23.5.0)", "readthedocs-sphinx-ext (>=2.2,<3.0)", "readthedocs-sphinx-ext (>=2.2,<3.0)", "sphinx (>=5,<7)", "sphinx (>=5,<7)", "sphinx-rtd-theme (>=1.2,<2.0)", "sphinx-rtd-theme (>=1.2,<2.0)", "towncrier (>=22.12,<23.0)", "towncrier (>=22.12,<23.0)", "urllib3 (<2)", "urllib3 (<2)"]
+dev-release = ["pydoctor (>=23.9.0,<23.10.0)", "pydoctor (>=23.9.0,<23.10.0)", "sphinx (>=6,<7)", "sphinx (>=6,<7)", "sphinx-rtd-theme (>=1.3,<2.0)", "sphinx-rtd-theme (>=1.3,<2.0)", "towncrier (>=23.6,<24.0)", "towncrier (>=23.6,<24.0)"]
 gtk-platform = ["pygobject", "pygobject", "twisted[all-non-platform]", "twisted[all-non-platform]"]
 http2 = ["h2 (>=3.0,<5.0)", "priority (>=1.1.0,<2.0)"]
 macos-platform = ["pyobjc-core", "pyobjc-core", "pyobjc-framework-cfnetwork", "pyobjc-framework-cfnetwork", "pyobjc-framework-cocoa", "pyobjc-framework-cocoa", "twisted[all-non-platform]", "twisted[all-non-platform]"]
-mypy = ["mypy (==0.981)", "mypy-extensions (==0.4.3)", "mypy-zope (==0.3.11)", "twisted[all-non-platform,dev]", "types-pyopenssl", "types-setuptools"]
+mypy = ["mypy (>=1.5.1,<1.6.0)", "mypy-zope (>=1.0.1,<1.1.0)", "twisted[all-non-platform,dev]", "types-pyopenssl", "types-setuptools"]
 osx-platform = ["twisted[macos-platform]", "twisted[macos-platform]"]
 serial = ["pyserial (>=3.0)", "pywin32 (!=226)"]
 test = ["cython-test-exception-raiser (>=1.0.2,<2)", "hypothesis (>=6.56)", "pyhamcrest (>=2)"]
diff --git a/synapse/util/__init__.py b/synapse/util/__init__.py
index 9f3b8741c1..8d9df352b2 100644
--- a/synapse/util/__init__.py
+++ b/synapse/util/__init__.py
@@ -93,7 +93,7 @@ class Clock:
 
     _reactor: IReactorTime = attr.ib()
 
-    @defer.inlineCallbacks  # type: ignore[arg-type]  # Issue in Twisted's type annotations
+    @defer.inlineCallbacks
     def sleep(self, seconds: float) -> "Generator[Deferred[float], Any, Any]":
         d: defer.Deferred[float] = defer.Deferred()
         with context.PreserveLoggingContext():
diff --git a/tests/http/__init__.py b/tests/http/__init__.py
index d5306e7ee0..9108a3007b 100644
--- a/tests/http/__init__.py
+++ b/tests/http/__init__.py
@@ -182,7 +182,7 @@ def wrap_server_factory_for_tls(
         )
     else:
         return TLSMemoryBIOFactory(
-            connection_creator, isClient=False, wrappedFactory=factory, clock=clock  # type: ignore[call-arg]
+            connection_creator, isClient=False, wrappedFactory=factory, clock=clock
         )
 
 
diff --git a/tests/server.py b/tests/server.py
index cfb0fb823b..c8342db399 100644
--- a/tests/server.py
+++ b/tests/server.py
@@ -484,7 +484,7 @@ class ThreadedMemoryReactorClock(MemoryReactorClock):
         if twisted.version > Version("Twisted", 23, 8, 0):
             from twisted.protocols import tls
 
-            tls._get_default_clock = lambda: self  # type: ignore[attr-defined]
+            tls._get_default_clock = lambda: self
 
         self.nameResolver = SimpleResolverComplexifier(FakeResolver())
         super().__init__()