I haven't read all of the discussions going on about this, but I wanted to throw in my opinion.
I think that the parents have the right to know what their child is doing and they have a legal authority over their children. For example, I believe that parents should give consent if their daughter wishes to have an abortions.
HOWEVER, in this particular case, I would have to side with the girl. If she honestly fears for her life and worries her parents will kill her because that is what their religion dictates to them, I would not put the girl back in the care of the parents. To me that deems them as unfit to parent.