What kind of bacteria Is? Me as a woman of science who has some (not much or less than much) knowledge about meds, believes that there's antibiotics for any type of bacteria, BUT there's a lot of resistence because people keep using them in the wrong way!
Cats can have many different kinds of bacteria in their mouths or on their claws, anything from Mycoplasma to these: "The bacteria most commonly associated from infected fight wounds include Pasteurella multocida, Peptostreptococcus anaerobius, Actinomyces spp., Bacteroides spp., and Fusobacterium spp." source
As you know from dentistry, abscesses must be often be drained before they go away but problem with bites and scratches is that the bacteria forms a pocket where antibiotics can't penetrate.
I didn't expectat the pocket thing, then its just draining it as treatment?
Mostly, unless it becomes systemic