It is generally fine if a two-month-old kitten that has not been vaccinated is scratched, because domestic cats generally do not carry rabies virus, so a female cat will not have it without kittens, and rabies is spread through saliva and blood. Yes, so a scratch will not cause infection. However, after being scratched, you should rinse it with running water for 15 to 20 minutes, squeeze out the blood, and then apply iodophor for disinfection.