You need to fight for your time too, it is your daughter as well. Speaking from experience, your STBX in all likelihood could be using your daughter to get what she wants.
Stay strong and make every attempt to compromise but fight for what you want. Appeasement only makes things tougher, again I am speaking from experience.
Wish you luck...
Me=29 WAW=25 S=2 "I need a break" = 6/07 Filed = 12/07