I can see anorexia just because of the closeness to
Annora. Still, I don't think it's that bad. The anal, thing? No. It's no more associated with anal than any other name beginning with An:
Anna,
Ana,
Anastasia,
Annabel,
Annabella,
Annalisa, etc. With a name such as Analia or Analeigh (which I just came across today), then yes, I'll admit that I see anal straight off.