I completely understand why you are irritated about this, but you really can't show it. As hard as it is, don't stress over it and continue to act "as if". Further detaching is probably a good idea - if nothing else for your sanity in this.
I would not retaliate by taking off your rings - it comes off a bit as "tit for tat". I think you are reacting very smartly, cordial but distant. Hang in there - I know it is tough.
