I have never had that particular experience, so I can't comment on that part.

Dealing with the loss of a beloved pet is always difficult. And because she got sick so suddenly, it can make you question yourself. Don't. Chloe wouldn't want you beating yourself up over something you cannot change, would she?

Do you know the Rainbow Bridge story?
Many find it comfortin, and I just love the story. You can read it here.

If you have any doubts about the vet, find a new one before getting a new kitty.