I can also understand not wanting to wear the ring, if you are divorced and it brings bad memories. It's more complicated than that, but the last anniversary ring ex and I got, it was purchased a year before the breakup and when he was cheating. No way I could wear that, even though it was a beautiful ring and just my style. I sold that and some other jewelry, and had a 3 stone ring made to wear instead.
Ironically when I wore it I got a couple comments asking if it was an engagement ring, even though it was a 3 ring bezel style and wore it on my right hand, so I stopped wearing it. But honestly, I'm past 50, not planning on getting married again and going to start wearing it out and get used to wearing it, because that's what I bought it for!
advice where to sell: internetmarket called Loupetroop, and IdonowIdon't. Both cases you will need to figure out what you want to sell it for, and sometimes that's tricky. Rings I've seen on those sites are all over the place regarding pricing, and obviously if it's not priced right it won't sell. also some jewelry and antique stores take rings on consignment.