diff --git a/git/remote.py b/git/remote.py
index 2cf5678b6..d459d12ce 100644
--- a/git/remote.py
+++ b/git/remote.py
@@ -794,15 +794,7 @@ def stdout_handler(line: str) -> None:
         handle_process_output(proc, stdout_handler, progress_handler, finalizer=None, decode_streams=False,
                               kill_after_timeout=kill_after_timeout)
         stderr_text = progress.error_lines and '\n'.join(progress.error_lines) or ''
-        try:
-            proc.wait(stderr=stderr_text)
-        except Exception:
-            # This is different than fetch (which fails if there is any std_err
-            # even if there is an output)
-            if not output:
-                raise
-            elif stderr_text:
-                log.warning("Error lines received while fetching: %s", stderr_text)
+        proc.wait(stderr=stderr_text)
 
         return output
 
diff --git a/test/test_remote.py b/test/test_remote.py
index 088fdad55..ad82d8fba 100644
--- a/test/test_remote.py
+++ b/test/test_remote.py
@@ -330,10 +330,8 @@ def _assert_push_and_pull(self, remote, rw_repo, remote_repo):
 
         # rejected - undo last commit
         lhead.reset("HEAD~1")
-        res = remote.push(lhead.reference)
-        self.assertTrue(res[0].flags & PushInfo.ERROR)
-        self.assertTrue(res[0].flags & PushInfo.REJECTED)
-        self._do_test_push_result(res, remote)
+        with self.assertRaises(GitCommandError):
+            remote.push(lhead.reference)
 
         # force rejected pull
         res = remote.push('+%s' % lhead.reference)
@@ -357,10 +355,8 @@ def _assert_push_and_pull(self, remote, rw_repo, remote_repo):
         # update push new tags
         # Rejection is default
         new_tag = TagReference.create(rw_repo, to_be_updated, reference='HEAD~1', force=True)
-        res = remote.push(tags=True)
-        self._do_test_push_result(res, remote)
-        self.assertTrue(res[-1].flags & PushInfo.REJECTED)
-        self.assertTrue(res[-1].flags & PushInfo.ERROR)
+        with self.assertRaises(GitCommandError):
+            remote.push(tags=True)
 
         # push force this tag
         res = remote.push("+%s" % new_tag.path)
@@ -386,11 +382,8 @@ def _assert_push_and_pull(self, remote, rw_repo, remote_repo):
 
         # rejected stale delete
         force_with_lease = "%s:0000000000000000000000000000000000000000" % new_head.path
-        res = remote.push(":%s" % new_head.path, force_with_lease=force_with_lease)
-        self.assertTrue(res[0].flags & PushInfo.ERROR)
-        self.assertTrue(res[0].flags & PushInfo.REJECTED)
-        self.assertIsNone(res[0].local_ref)
-        self._do_test_push_result(res, remote)
+        with self.assertRaises(GitCommandError):
+            remote.push(":%s" % new_head.path, force_with_lease=force_with_lease)
 
         # delete new branch on the remote end and locally
         res = remote.push(":%s" % new_head.path)