A pharmaceutical calmer might be necessary until she catches on that she is not allowed to bite and that you are her friend.
I hope something works to mellow her behavior. I'd hate to think she would have to be put to sleep.
She is not fearful. If these biting attacks were out of fear, I’d understand. I’ve trained through those kind of things.
Flick her nose when she bites? Yell at her? That’s bad ju-ju.
I’ve had issues with aggression in one of my cats in the past. Half tortie, half siamese, all attitude. What worked well for me was L tryptophan (the amino acid that’s in turkey that causes the post-Thanksgiving food coma). A small dose of that daily kept her more mellow. Many pet stores carry it.
CC