I have never thought twice about wearing my rings. Although my husband doesn't wear his ever. I like my rings and I find it unlikely that I would mesh well with anyone who wasn't ok with the physical reminder that I'm married. It's a part of who I am.
Although funny story, my daughter (6) asked me one day why I wear a wedding ring but her dad doesn't. I told her that I was the only one who was married. I think I confused her a bit.
Everything will be ok in the end. If it's not ok it's not the end.