Excuse my rudeness... but I can't believe you decided to ask on an
anime forum what to do when your cat bleeds to the point you thought it would die, without contacting your vet first!!
Are you very far from a vet or something? When this sort of thing happens shouldn't you go straight to the vet? It's not like it's something minor either!
I don't know much, but I'm also under the impression that most parasites attack from the inside...