Emily,
Part of your daughter's wish to stay at home with Daddy may be the beginnings of co-dependent behaviour, as she may sense or even know that he is in need of "looking after," while you may come across to her as sensible and not quite as needy. This may not be favouritism in any sense, but merely the longing of a young girl to connect with her father, particularly when she knows he is hurting.
Just my opinion, take what you need, and throw away the rest.
Just Ellen