Is my eating disorder a problem?

I have had an eating disorder for almost a year now and I am 16. I was diagnosed with bulimia. It is the worst possible thing to ever go through and everyday it makes you weak and miserable. Just a couple weeks ago I was discharged from an outpatient treatment program that I was in for about two months. The problem is it did not help that much and I have actually gotten a bit worse. I don't want to live my life like this but I also don't want to give up what i'm doing and change my lifestyle right now. I went to the doctor the other day and she was concerned and said I should consider a residential treatment center. I don't know if that would be good for me or even that i'm ready yet considering i'm still so deep in the disorder I don't want help. Should I consider residential or should I just try and stick it out and get better when i'm ready?