Well we shouldn't pretend that the internet reacts in a perfectly normal and healthy way to someone going nude on a TV show.
It would be posted and shared and people will wank over it. People will be creepy as fuck about it. If it's a body double, it's the the nude body of someone the internet weirdos don't know, then they won't be creepy weirdos over it. Well I suppose they will still find a way to be weirdos, they'll express anger over it. But that's probably preferable to millions of creepy weirdos wanking over a scene about a woman being humiliated.
So it's not shame over her body, more knowing in advance how shamefully people will respond to it.