I'm a goldsmith, and I'd strongly advise against wearing rings when riding. A fall would jeapordize most types of settings, making it likely that stones could be lost. Semi precious stones are especially vulnerable to breaking, so Brandi, if you love that moonstone, take it off before you ride!

Maillotpois, your ring may not be destined to have those dents forever. Have your jeweler take a look at it. She may be able to remove some of the lesser damage, and minimize the bad dents through sanding and polishing.