My cat Fiddy just had all but three fangs and one tooth removed a few months ago. I was concerned fiddy wouldn't wake up either, considering she is nearly 11 years old.
But everything went fine. It cost a lot of money, $600+, but it was worth it. She's in no more pain and she's even eating her normal food again.
So I'd say, go for it, and take care of her teeth once they've been cleaned. Really worth it, and your cat will thank you.