We've been home with our daughter for 14 months and are still dealing with this issue. I've posted here for advice and most everyone said "Don't let your child set the rules." I have also found myself rescuing DD from Dh if she is really upset, and I still do if we are in public places (where I'd prefer not to subject everyone to her major displays of protest and distress). DD prefers me for everything, although we've managed to get her through a bath from daddy, and daddy holding her no matter how hard she resists (and no matter how much I want to take her in my arms.) I have to admit that DH has not been very patient and willing to work on it. It's just easier for him to step back and let me deal with things. But, that's his problem. I know it will take us a while longer, and we're going to focus on it here at home.
Also, when she is resisting and pushing DH away I tell her things like "Daddy can give you kisses, daddy can wipe your face, daddy can carry you", so that she isn't getting any sort of triangulating reaction from either one of us (if that makes any sense
).