I do cover my hair for religious reasons (Orthodox Jew). Wear a scarf - seriously, we don't own the copy right to covering your hair, and if you enjoy doing it, then go for it! I can tell you that to the best of my knowledge, in the 10 years I've been married and covering my hair, I've never been mistaken for a Muslim woman because of my hair covering (if that is your mom's concern). I have been mistaken for a cancer patient more than once and those times were very uncomfortable for me and the person who made the mistake, even though I tried to make it as uncomfortable as possible.
If someone objects to your choice of hair accessories, that is really their problem. I'd tag it the same as someone who objects to body art - you don't have to like their choice, but unless they ask your opinion, you don't have the right to say anything.