Should I give up vegetarianism?

I have been a vegetarian for almost two years now. I started when I was fourteen and I'm sixteen now. As a teenage girl, my doctor has always been wary about my diet, saying that I lack iron and protein. At first, I didn't really care because I didn't see the harm it was causing me. As time has progressed, I get sick frequently, I lose my already thin hair often, and I'm border-line anemic. I originally became a vegetarian because I believe in fair treatment of animals, and a good majority of animals are tortured in slaughter houses. Though this disgusts me, at a certain point I must look out for my own health. I have tried taking iron pills and getting protein elsewhere, but I just can't seem to get enough of it to stay healthy. I never had problems with my health before becoming a vegetarian, other than the common illness. So, should I give up vegetarian for my health? Or should I stay a vegetarian because it's wrong to torture and animals?