She's right, you aren't the parent. But it has already been established that you care for your stepdaughter when her father is at work. I don't think a judge will change the status quo.
Also, the father has the right to have who sees fit care for his child on his parenting time. She doesn't get to dictate, in the abscence of endangerment, who he has watch their child.
It's been a while but we finally got it sorted and I thought I should update. We ended up going to mediation (as per the parenting agreement). First she tried to talk the mediator into not allowing me there. When that didn't work, she brought a friend of her's dad that had no knowledge of the child or the situation. I'm a very upfront, in control person but I decided to not talk as much as possible and let my husband handle it. It worked great!!! I only spoke when spoken to by the mediator and when there was a huge wrong being said. My husband got fired up (finally!!) and it was great to finally see him defending me to her. (Maybe I should let him talk more!!:)) The mediator ended up totally siding with us, and saying that I am a parent and we should not have to take her to her mom's when my husband is not home. SO she has agreed to abide by it. It really could not have gone better for us. We got everything we wanted, plus I finally got to see my husband bet really mad at her and stand up for me and our family. He has always let her walk all over him and us because he feels guilty. Not anymore!!! I think she was completely surprised by that as well. I don't think she was counting on this happening when she started being a pain. As an added bonus, my husband has cut off all ties to her, except as it directly relates to his daughter. No more chit-chat phone calls, no more coming to our house, nothing. I believe she is still in love with him, so this hurt her more than the step-parent is a parent thing. So everything worked out this time. Thanks for all your advice and ideas. I'm sure there will be a next time!!