This is so wrong it isn't even humorous. Eating disorders are about control, not food. I spent the better part of my teen years battling anorexia, so I know from whence I speak. The social part comes in after it starts, when the constant "you've lost weight, you look fabulous" reinforces the behavior.
As I said before, you cannot win in battles of eating or elimination. Sure, you can offer her the healthiest choices in the world. You can not make her consume them, or she will find other ways to fight back. She will vomit, she will refuse to pee in the toilet, she will refuse to poop until you wind up in the emergency room and she needs surgery to remove the compacted stool.
And yes, there was a scene in Mommy Dearest about the little girl not wanting to eat bloody beef. If you want to go all Joan Crawford, find a stage, not your kid.