L.F.
A., I have no idea what you must be going through, and I'm sorry that you had to endure so much. No one should have to experience what you experienced.
This is my honest opinion. You chose to give birth to that child. No matter how she got here, she did not ask to be born. It's not fair to her to project your anger at your rapist onto your daughter. If you continue to abandon her, how would that make her feel? Even if your parents love her to pieces and they are good to her, your mother is NOT her mother. If she knows you are her real mom and you reject her, she will be scarred by that for the rest of her life. No one wants to feel like they weren't good enough for their own mom to love them.
My suggestion is that you get some counseling because there are ways to learn how to separate your beautiful child from that horrible man in your mind. It may be best for her to continue to live with your mom and dad right now. But--and I say this with no intention to hurt you--a child is a blank slate. Their whole lives are shaped by how the people closest to them choose to write on that slate. You do NOT have the right to put a big red X on her slate. She is your daughter. She is nothing of him and EVERYTHING that is good about you. You say it's for her best interest to leave her behind and move away, but it seems like that is what's easiest for you.
You can take my advice with a grain of salt because we don't know each other. But I honestly feel from your post that the man who raped you still has some power over you. You seem like a caring person from the amount of thought you have put into this. You're not weak and you can learn to love your daughter if you choose to work on it. Even if she NEVER lives with you, she should never think her own mother hates her and doesn't want her around. Yeah she reminds you of something painful. But that's HIS fault, not hers.
Good luck to you and I wish you the best whatever you decide.
...LF