I have had bulimia for over 15 years (in recovery but still fighting it daily) and I have Graves.. I have never had a conflict between the two.
I slip every once and a while too.. don't be hard on your self!
I didn't get hypothyroidism until after I became bulimic also. I don't know if it's related or not. It would make sense though.
Eating disorders can be linked with thyroid problems. Usually a person has the eating disorder first and then the problems (repercussions) follow.
The thyroid is a very sensitive gland and can damage itself if we do not take care of our bodies. I think it can be more of a warning signal of more serious issues to come - if we do not take a step back and start to take care of ourselves correctly.