I'm iwth Momma11 on this one. It sounds like it bothers you more than it does her. If the fighting continues, especially about her dressing, etc, she may develop some complex about her body and I would think you certainly would not want that to happen.
We don't think much about the doors around here. My now 15 yr old does close the door now and she didn't used to. She also did not like the shower in her room. SO, I found a clear shower curtian with pockets on it from Kohl's and she loves it because she can see through it. Of course no one is going to come in on her but I see her point of being in the shower and not seeing out.
We are open minded and personally if I am in the locker room, etc I don't go out of my way to cover up like I have body parts others don't. I've always taught my daughter to be proud of her body and embrace it. That doesn't mean run around naked......but not be so modest that she is the "different" one in the locker room, etc.