I remember my Persian's paw getting bloody hurt in a fight with an outsider cat once. She bled and I had to take her to a vet. The vet only applied an ointment (he advised against something like Dettol which is very very corrosive to an animal's skin) and bandaged the infected area. The bandage wouldn't hold for long as the cat has to use her paws quite often so it came off pretty soon but thankfully, the cat was able to recover in the days to come.
Know this for a fact that during the recovery process, every animal be omes far from playful and joyful; it gets a bit depressed and finds more comfort in rest more often than not. My cat would always be extremely playful before that but it took her a couple of weeks to get back to that normal state of hers after which she embarked on that playful routine of hers again. So try to not worry so much and spare some time of your day to spend with her, petting and feeding her.
I hope the poor thing gets well soon.