Can you be at a healthy weight and still be anorexic?

I was underweight for about a year and extremely afraid of gaining weight or food with any kind of fat in it. And exercised compulsively. But now I'm back at the weight I started at before this all happened. I still go days without eating because I think I'm too fat. So I feel like I'm just going to relapse at any moment. So is it true that anorexics are never really cured? My bmi was 16 and is now around 20.