Hey sara,
I obviously can't diagnose you, but I can give you my honest opinion. I don't think that you have a full-blown eating disorder, but you sound like you have an unhealthy mindset. You should never hate yourself for eating, no matter what it was. Its really really good that you went to go get help, and I think you should trust what your counsellor says. You also have to listen to your body though. You need food to survive, but if youre honestly not hungry, dont force yourself to eat. Just make sure you get a healthy number of calories in each day.
Part of you is saying that what youre doing isnt right. I bet theres more unhealthy habits that you have that arent fully explained here, and those could be the ones that are the most dangerous. Tell your counsellor exactly whats going on with your eating and exercising, and go from there, because he really knows best.
If you ever want someone to talk to about this kind of stuff, you can always talk to me