Years ago, a friend of mine adopted the cat that was mistreated by its previous owners and was still very defensive around strangers. He invited a couple of friends over, and one of them insisted on petting the cat despite clear signs that it wanted to be left alone and got bitten as a result. She didn't think it was a big deal and decided to let it heal on its own, until it became clear that it wasn't going to so she went to see a doctor a couple days later. That doctor detected early signs of necrosis and told her that, if she had waited a few more days, she would have probably lost her arm to gangrene.

So yeah, cat bites are no joke at all

I've been scratched by cats but never bitten. And I've been around a lot of cats. How'd that happen in your case?

You probably had cat scratch fever