Can I sue my mother for failure to provide medical care?

I have a dental problem that will require roughly $6000 in orthodontic work. My mother was aware of this when I was a minor but didn't have it treated because she did not think it was important or would cause problems. My dentist suggested an orthodontic consultation and she ignored that recommendation. It is worth noting that she did take the dentist's recommendation to get my sister braces. Now my insurance will not cover my orthodontic treatment because they only cover orthodontia if the treatment begins before you are eighteen. Essentially, my mother ran the clock out on my insurance coverage. If the choice had been mine, I would have treated this problem when it was discovered but I was a minor and couldn't make that decision. Honestly, I really don't want to sue my mother, but she is refusing to pay for any of this. I even offered that she could pay what insurance would cover and I would pay the rest. She would not accept that either. Is it possible to sue her to recover the cost of my medical treatment?