Not all eating disorder have to do with being fat. Some but not all.
1. Anorexia nervosa.
2. Bulimia.
3. Emotional eating.
4. Overeating.
Please do some research on eating disorders. As you know there are several reasons or eating disorders that may cause a weight gain.
Running away from the truth is certainly not going to help you. I suggest you stay for awhile, continue talking to make sure you don't have a problem with any eating disorder.