Just jumping in here to say that if your house cat bites you and draws blood you should absolutely go to a doctor ASAP because cat mouths are nasty and cat bites often get very seriously infected (like, "lose your hand" infected) very quickly.
Not that I am saying one shouldn't use applicable wound care but find it difficult to believe that you must visit a doctor right away or else you will get a bad infection and lose a limb.
"Appropriate early treatment of cat bites of the hand is the key to success. Treatment with antibiotics, surgical drainage, debridement and copious irrigation, and use of corticosteroids in some cases, proved to be effective. Hand elevation and intensive physiotherapy after a short period of immobilization is critical. We believe that prophylactic antibiotics should be given even in case of a minor infection following cat bites of the hand. Clear guidelines for clinical recognition of infection, hospital admission and management are provided in our study."
Furthermore, I already acknowledge that proper wound care should not be ignored.