As you are well aware, your girlfriend has serious issues, including an eating disorder, that need the help of a trained mental health professional. From what you have shared, she has many issues about her body image, obsession with weight and excessive exercising. But, unless she acknowledges that there is a problem and wants to get help, it will be next to impossible to get her to see a psychiatrist, therapist or counselor. I wish I had the magic answer. You, her family and close friend can continue to gently point out that there is a problem and that she needs help. Hang in there and don't give up. She may see the light!