Right now, the choices you make are for you. Keep in mind - SHE MIGHT NOT EVEN NOTICE. She is in the la-la land fog of her own brain right now. Welcome to bizarre-o-land.
Sometimes I took my wedding rings off, because I felt like it was MY choice to do so. It helped me feel empowered, like I was making my own decisions.
I've gone back to wearing them all the time.
He never noticed whether I was wearing them or not.
So...detach for yourself. If taking off your rings helps you detach, then do so. I think that detaching from her is what she will notice...not whether or not you have on your rings. Detach, get a life, be pleasant but don't pursue.
Do you have a counselor? Can you afford a DB counselor? They're probably the best people to help you. If not - there are good threads here about detaching.