Ahhh yes. You've encountered the fact that we have to deal with our own issues first and foremost. Parenthood sure is a challenge, isn't it!
At this point, I think I'd do two things. One is to keep her fingernails very short to begin with, even if you have to cut them every other day. Let her watch you cutting your own frequently as well (instead of biting them off). Oh, and of course, stop your own fingernail biting no matter how hard, or how creative you must get to stop.
I cannot stand the feel of my nails even slightly long, nor with the slightest ding in them. It is a sensory thing. I will bite, pick, chew if I feel anything wrong with them. My solution is I carry a nail file everywhere. I have them in the car, in the bathroom, in my purse. I keep my nails filed smooth so that they don't drive me crazy. Problem solved.
But I completely agree with the poster who said not to make an issue of it with your daughter. Don't draw attention to the biting. Don't say anything about that or react to it when you see her do it.