Cullens go on Wife swap and things go bad for Pamela

What if Bella has a whole different back round. Edward meet her when she was 5. She has a abusive step-dad and mom is a alcoholic. I know way off according to the twilight story. Edward has trouble loving a young child and learns to be a protector instead of a monster he believes he is. Will there relationship change from brother and sister to boyfriend and girl friend?