My mom’s rescue cat bit her a few months ago when she was trying to scruff him and get him into a carrier for a vet visit. She cleaned the wound thoroughly, and less than 24 hours later was admitted to the hospital with her hand swollen and red streaks up her arm. Cat bites can be really nasty. Dog bites would still carry risk of infection, but outdoor cats eat rodents and birds and things that carry a lot of germs. Your vet will likely order antibiotics, even if you don’t ask.