Cat scratch fever is a possibility...
The thing I've been trying to hint at is whether the cat was on OP's property or under OP's control, and whether the other party's actions were reasonable. Apparently OP was holding the cat, and the other party asked for permission to pet the cat. But I can't figure out if OP agreed or not. It would be odd to grant permission to someone who makes you uncomfortable to enter your personal space and try to pet a skittish cat. And there's nothing wrong with saying, "No. My cat is a little skittish."
We had an elderly partially-blind and partially-deaf basset hound that was very docile when approached in the right way - but if someone reached down suddenly or came up from behind without warning, she was likely to snap.
A 4th of July parade clown once asked if he could pet our dog and we said “No, please don’t. She sometimes snaps” and the clown backed away and circled around behind us to pet the basset’s backend and … well … that clown got what he deserved.
Suffice to say, even saying “no” does not necessarily mean a person won’t anyway.
Generally when there is an injury caused by an animal that draws blood - especially when the animal is wild - the injured person might be smart to have the wound checked by a doctor, and the local health department might want to quarantine the animal for a few days, just to be sure the animal does not have any diseases.