diff --git a/aiohttp/web_response.py b/aiohttp/web_response.py
index f231ca5d289..050093b0d68 100644
--- a/aiohttp/web_response.py
+++ b/aiohttp/web_response.py
@@ -343,9 +343,30 @@ async def _start_compression(self, request: "BaseRequest") -> None:
             return
         # Encoding comparisons should be case-insensitive
         # https://www.rfc-editor.org/rfc/rfc9110#section-8.4.1
-        accept_encoding = request.headers.get(hdrs.ACCEPT_ENCODING, "").lower()
+        accepted_codings = set()
+        for header_value in request.headers.getall(hdrs.ACCEPT_ENCODING, ()):
+            for coding_part in header_value.split(","):
+                token_and_params = [
+                    part.strip(" \t") for part in coding_part.split(";")
+                ]
+                token = token_and_params[0].lower()
+                if not token:
+                    continue
+                qvalue = 1.0
+                for param in token_and_params[1:]:
+                    if not param:
+                        continue
+                    key, sep, value = param.partition("=")
+                    if key.strip(" \t").lower() == "q" and sep:
+                        try:
+                            qvalue = float(value)
+                        except ValueError:
+                            qvalue = 0.0
+                        break
+                if qvalue > 0:
+                    accepted_codings.add(token)
         for value, coding in CONTENT_CODINGS.items():
-            if value in accept_encoding:
+            if value in accepted_codings:
                 await self._do_start_compression(coding)
                 return
 
@@ -579,13 +600,6 @@ def __init__(
                 real_headers[hdrs.CONTENT_TYPE] = content_type + "; charset=" + charset
                 body = text.encode(charset)
                 text = None
-        elif hdrs.CONTENT_TYPE in real_headers:
-            if content_type is not None or charset is not None:
-                raise ValueError(
-                    "passing both Content-Type header and "
-                    "content_type or charset params "
-                    "is forbidden"
-                )
         elif content_type is not None:
             if charset is not None:
                 content_type += "; charset=" + charset
diff --git a/tests/test_web_response.py b/tests/test_web_response.py
index daa9de46bc9..bc01070bdb1 100644
--- a/tests/test_web_response.py
+++ b/tests/test_web_response.py
@@ -488,6 +488,44 @@ async def test_compression_default_coding() -> None:
     assert msg.filter is not None
 
 
+@pytest.mark.usefixtures("parametrize_zlib_backend")
+async def test_invalid_token_not_matched() -> None:
+    req = make_request("GET", "/", headers=CIMultiDict({hdrs.ACCEPT_ENCODING: "xgzip"}))
+    resp = web.StreamResponse()
+    resp.enable_compression()
+
+    msg = await resp.prepare(req)
+    assert msg is not None
+    assert not msg.enable_compression.called  # type: ignore[attr-defined]
+    assert resp.headers.get(hdrs.CONTENT_ENCODING) is None
+
+
+@pytest.mark.usefixtures("parametrize_zlib_backend")
+async def test_valid_token_still_matched() -> None:
+    req = make_request("GET", "/", headers=CIMultiDict({hdrs.ACCEPT_ENCODING: "gzip"}))
+    resp = web.StreamResponse()
+    resp.enable_compression()
+
+    msg = await resp.prepare(req)
+    assert msg is not None
+    msg.enable_compression.assert_called_with("gzip", None)  # type: ignore[attr-defined]
+    assert "gzip" == resp.headers.get(hdrs.CONTENT_ENCODING)
+
+
+@pytest.mark.usefixtures("parametrize_zlib_backend")
+async def test_q_zero_not_selected() -> None:
+    req = make_request(
+        "GET", "/", headers=CIMultiDict({hdrs.ACCEPT_ENCODING: "gzip;q=0"})
+    )
+    resp = web.StreamResponse()
+    resp.enable_compression()
+
+    msg = await resp.prepare(req)
+    assert msg is not None
+    assert not msg.enable_compression.called  # type: ignore[attr-defined]
+    assert resp.headers.get(hdrs.CONTENT_ENCODING) is None
+
+
 @pytest.mark.usefixtures("parametrize_zlib_backend")
 async def test_force_compression_deflate() -> None:
     req = make_request(
@@ -1114,16 +1152,19 @@ def test_ctor_both_charset_param_and_header_with_text() -> None:
         )
 
 
-def test_ctor_both_content_type_param_and_header() -> None:
-    with pytest.raises(ValueError):
-        web.Response(
-            headers={"Content-Type": "application/json"}, content_type="text/html"
-        )
+def test_ctor_content_type_param_and_header_without_text() -> None:
+    resp = web.Response(
+        headers={"Content-Type": "application/json"}, content_type="text/html"
+    )
 
+    assert resp.content_type == "text/html"
 
-def test_ctor_both_charset_param_and_header() -> None:
-    with pytest.raises(ValueError):
-        web.Response(headers={"Content-Type": "application/json"}, charset="koi8-r")
+
+def test_ctor_charset_param_and_header_without_text() -> None:
+    resp = web.Response(headers={"Content-Type": "application/json"}, charset="koi8-r")
+
+    assert resp.content_type == "application/json"
+    assert resp.charset is None
 
 
 async def test_assign_nonbyteish_body() -> None: