Cat bites are very dangerous. I’ve seen someone lose a finger over a cat bit. I’ve also seen dozens of people admitted to the hospital for antibiotics and have multiple surgeries to recover from what looked like a minor bite.
You would do well to get your bites looked after. Now as opposed to later, they can turn south in less than 24 hours. In addition, you need to not put yourself in the position of being bitten again.
Miss Peach did bite a man who needed to have surgery on his hand. It was because he had diabetes himself and it was untreated. He had to have a hand surgeon to operate. Fortunately, my orthopedic surgeon is certified in hands. That Dr. told him that the cat had saved his life by forcing him to treat his diabetes. Otherwise he would have fallen into a diabetic coma while driving his new motor home to Canada. so they did not sue me, but have sent Christmas cards to Miss Peach.