Laura said:
I think it might also be useful to take the burden on yourself and tell your daughter that you are very sorry that you were not there for her and that you have issues to fix and you'll be going to a therapist to see if you can't be a better parent. In short, take some of that burden off of her. Acknowledge that most of the problems are your own failings and you want to get better and make it up to her and try to make everything better.
After reading your clarifications, Rx, I would agree that it'd probably be better if you yourself saw a therapist and examine your possible role in your daughter's issues. If there's a negative dynamic within the family that needs to be addressed, and if your daughter was the one seeing a therapist (placing the burden on fixing the situation on her), what could she possibly tell them? A child caught in a narcissistic family dynamic - note that I'm not saying at all that you're a narcissist, I'm just talking about the dynamics - wouldn't see it, and wouldn't make the connexion between her eating issues/stress etc. and her parents' behavior towards them - especially if it's very subtle. She'd probably seek to protect you, and claim that her family's perfect. The responsibility of seeing the problem and do something about it in terms of correcting their own behavior thus has to fall on the parents - as responsible adults, as the persons who do have the knowledge and the power to correct things.
Also, I think it'd be very good for your daughter to hear those simple words: "I am very sorry that I was not there for you". Sometimes a simple thing like that, like saying "I'm sorry", "I love you", "I understand your pain/suffering, and the problem doesn't come from YOU, it's just that Mom needs to address some issues that have nothing to do with you", or something along those lines, can do a lot (as in lifting the weight off their shoulders) and be very healing for the child.