This will need to also be backported to 3.10. In the light of that, I'm nervous about the removal of _asyncio._get_event_loop here. The point of the change as named in the PR is to stop emitting deprecation warnings when a loop exists on the policy. Serhiy's comment here explains this intent as well:
#98440 (comment)

@serhiy-storchaka, @gvanrossum, @kumaraditya303: would you be okay if I changed this PR to keep _asyncio._get_event_loop intact? I think that makes more sense for a change that's supposed to land in 3.10.9 too.

Note that I'm fine with _get_event_loop() to disappear in 3.12 as it's an underscored name. I simply think it's going to be disruptive to change this in 3.11.1 and 3.10.9.

(I also resolved a conflict in any case to have CI green.)

I do not think it is necessary, but I have no objections.

OK, @serhiy-storchaka, then I'll adapt this PR to leave _asyncio._get_event_loop existing.

I afraid that I can create conflicts with Łukasz, so from now I'm stopping committing in this branch. In any case my internet connection is currently too bad and can disappear at any time.

Thanks, @serhiy-storchaka, I reverted removal of asyncio.events._get_event_loop and _asyncio._get_event_loop. Look how obvious the remaining changes now look in the "Files changed" tab. I like this.

I will wait for everything to pass and then merge this to create a 3.10 backport.

Thanks @serhiy-storchaka for the PR, and @ambv for merging it 🌮🎉.. I'm working now to backport this PR to: 3.10.
🐍🍒⛏🤖

Sorry @serhiy-storchaka and @ambv, I had trouble checking out the 3.10 backport branch.
Please retry by removing and re-adding the "needs backport to 3.10" label.
Alternatively, you can backport using cherry_picker on the command line.
cherry_picker 3fae04b10e2655a20a3aadb5e0d63e87206d0c67 3.10

Note: I'm working on the backport now manually, there's some test conflicts with 3.10.

Now backporting '3fae04b10e2655a20a3aadb5e0d63e87206d0c67' into '3.10'
Error cherry-pick 3fae04b10e2655a20a3aadb5e0d63e87206d0c67.
Auto-merging Doc/library/asyncio-eventloop.rst
Auto-merging Doc/library/asyncio-llapi-index.rst
Auto-merging Lib/asyncio/events.py
Auto-merging Lib/test/test_asyncio/test_base_events.py
Auto-merging Lib/test/test_asyncio/test_events.py
CONFLICT (content): Merge conflict in Lib/test/test_asyncio/test_events.py
Auto-merging Lib/test/test_asyncio/test_futures.py
CONFLICT (content): Merge conflict in Lib/test/test_asyncio/test_futures.py
Auto-merging Lib/test/test_asyncio/test_streams.py
CONFLICT (content): Merge conflict in Lib/test/test_asyncio/test_streams.py
Auto-merging Lib/test/test_asyncio/test_tasks.py
CONFLICT (content): Merge conflict in Lib/test/test_asyncio/test_tasks.py
Auto-merging Lib/test/test_coroutines.py
Auto-merging Modules/_asynciomodule.c
error: could not apply 3fae04b10e... [3.11] gh-93453: Only emit deprecation warning in asyncio.get_event_loop when a new event loop is created (#99949)
hint: After resolving the conflicts, mark them with
hint: "git add/rm <pathspec>", then run
hint: "git cherry-pick --continue".
hint: You can instead skip this commit with "git cherry-pick --skip".
hint: To abort and get back to the state before "git cherry-pick",
hint: run "git cherry-pick --abort".