which Apple tv do you have? White or Black?

Sounds like white. It will depend on a couple of things. Ever sync something like an iPod/iPhone/iTouch. Then when you look at, oh say contacts instead of the neat sleek trimed down one you had, all of a suddon there is every contact you started with plus doubles of some but not all? That is because you have certain items checked not to delete, and they combine instead.

My real question, do you want the one on apple tv removed or not? If you do, then do nothing, watch it update, note the selections you made when setting up the sync process. If the movie/s is still there on the tv then the selections you made do not remove items on the tv when syncing. If they are gone then you have it set to remove the movies. You set it up, now you have to figure out what you did and either change them or leave them.. I suggest you take notes so you know next time.