Hey there. Personally I would get it looked after. Cats carry a bacteria in their saliva - my grandpa is a doctor and has seen many infected cat bite wounds.
Just my opinion
Just my opinion
I have had cat bites by Mia several times playing around and she got too excited. I have always washed with soap and water and used peroxide next on the wound then just watched it the next few days. I would get a tetnis shot if you havn't had one in 10 years though. That should be routine though.Your doctor may have to put you down.
If you washed it well and applied antibiotics right away, I wouldn't bother going to the doctor (mostly because I wouldn't want to pay my co-pay if it's nothing). If it gets worse and not better, then I'd go.