It wouldn't bother you to know that the father of your child didn't like part of her name? That it reminded him even a little of a person he doesn't like?
I think the fact that he's willing to compromise with you means it's not so set in stone. And once your DD arrives he will probably associate it with her and not the other person. If he were adamant about not using it then we'd all say that you have to work within what he's comfortable with, but since he's offered it then I'd take him up on it.
FWIW, I actually liked Emilie Danielle the best.