If your daughter suddenly rejects you and says she wants nothing to do with you, I imagine she must have some reason to act this way. I definitely think you deserve an answer to at least understand this choice that she is making. Maybe all she needs is time away to truly understand how much she needs you. We all need a breather once in a while. Again, I don't know exactly what made her choose this.

How is your other daughter abusive? Could she be suffering from a personality disorder as well? I suppose it's possible since these kind of disorders seem to evolve from the interaction we have or don't have with each other in the family. Maybe looking into it would make it easier for you to understand her behavior as well.

I really understand why you feel so rejected and your family situation seems very unstable and chaotic. It seems that all of you aren't able to be the strong one at this point. I can only imagine that if you are able to you should seek some professional help that can help you handle your situation and make you feel that there is indeed a way to get better. You need someone with an objective viewpoint to lend you a hand so you can start walking again.
I really hope things work out for you.