Cat bites can be serious although in most cases cat bites are nothing serious and cause no other issues.
However if you get bitten by a stray cat you have more a chance of getting infections and possible rabies.
However if it's a pet cat that is up to date on it's vaccines then you will be unlikely to get any infections or rabies from your cat.
Still you should use some hydrogen peroxide or antiseptic on the cat bite and monitor it for any possible infections.
If you think you've been infected with something from the cat bite then seek medical attention.
Things you should do if a cat bites you.
Wash the wound gently with soap and water.
Apply pressure with a clean towel to the injured area to stop any bleeding.
Apply a sterile bandage to the wound.
Keep the wound elevated above your heart to prevent swelling and infection.
The cat bite bite may take as little as 7 days or as long as several months to heal, depending on how bad it is.
Taking good care of your wound at home will help it heal and reduce your chance of infection.
The doctor has checked you carefully, but problems can develop later.
It is estimated that 20-50% of cat bite wounds become infected.
Usually several different kinds of bacteria are present in a bite wound, some of which can cause very severe infection at the site of the wound, or even enter the bloodstream and spread to other parts of the body.
A person should contact their doctor immediately if they experience the following symptoms: a cat bite or scratch that is not healing or is getting worse. the red area around a bite or scratch is enlarging. a high fever that lasts more than 2 days after the bite or scratch.
Antibiotic prophylaxis should be considered for all bites requiring closure and for high-risk bites.
All cat bites are considered high risk for infection because they tend to cause deep puncture wounds.
Amoxicillin/clavulanate (Augmentin) is generally considered the first-line prophylactic treatment for animal bites.
I've personally been bitten by both stray cats and my own cat and nothing has happened other than a little bleeding.
But still there's the possibility of an infection so you must be aware.