Take the advice that people are giving you here and embrace it, live it, let it become you. The situation sucks, so true, but it is what it is and here is where you step up and be the adult. Show your daughter, by example, how to deal with adversity and bullying. Be strong, stand up for yourself and your D and start to lead your life instead of just following what that lout of a husband of yours is throwing at you.
Become a stone. A duck's back. Whatever he throws at you rolls off. Do not show emotions in your face except for the politest of smiles. Then when you don't have your daughter, dig into a a pint of ice cream, cry and scream. Do whatever you have to do so the rest of the time you are on the level.
Above it all, all the time, be your D's Mom. Love her, don't overcompensate, enjoy her and let her see you as you are and not what H and his family might be saying you are. Go give your daughter a big hug and ask her to color you a picture. Color her one back.
Me: 42/H: 37 T: 10 years/M: 8 D9, S8 Bomb: 7.23.07 Separated: 1.20.08 D Final 3.19.09 Affair started in '05, found out parts in 11/07. They married 11.26.09