Wanting to lose weight doesn't mean you have an eating disorder. But, lots of anorexics develop their disorder when they start dieting, and are very successful at it. So they get addicted to it.
There are healthy ways to lose weight, and there are unhealthy ways. As someone with an eating disorder, I'd recommend just using this experience as evidence that you have the ability to lose weight. It's way better for your body to just start excercising and cutting out bad things from your diet. If you're not hungry, don't make yourself eat, but it's unhealthy to go too long between meals/snacks. You can actually hurt your body that way.
Blah blah. My point is you're at risk for developing disordered eating habits but you can change your path relatively easily this early in the weight loss and still have a great effect.