My cousin had anorexia when she was in her teens, she was a very promising athlete, won Finnish Championships in running and stuff, and her coach thought she was a bit fat (she was of course very muscular, being a sprinter) and at that age, she was very fragile. So she got anorexia, her parents noticed after a year or so, took the coach a lot longer to notice
It's more than 15 years later now, and she still has problems related to that - she loses a lot of hair, has never got her periods properly running etc... She is very sick in a lot of ways, some of it might not have to do with her anorexia but some of it does.
The worst thing about that was that she wasn't even fat, just very muscular, and it was her coach whose remark started all that!
Overweight, when excessive, isn't healthy for you, but anorexia results in so many problems for so long in your life.