So you are saying that I should still wear my ring to show her that I am not giving up?
Oh lordy, I need to take a communication course.
This is my personal opinion about you wearing or not wearing your ring.
She has told you she doesn't want to be M to you, right? So if you took the ring off.......don't put it back on!
Your way of thinking about wearing the ring...and her way of thinking has totally opposite results. You are waving your protest sign (the ring) saying, "Look! I'm showing you that I'm not giving you what you want! I'm standing for our M!" But, it is a complete turn-off to her! The more you wave around your protest signs, the more resistant she'll be toward you. It will not have positive effects.
The WAW doesn't care to see the LBH declaring his undying love for her, nor him "fighting for the M". That does not get you anywhere with her.
If I understand, what you really want to do...is show her the message you aren't giving up on the M. You think that she'll see you wearing the ring and that's suppose to...............do what, exactly?
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!