My daughter suffers from annorexia, but lately has been doing a lot of strange late at night binges?

You deffinitely need help- and the best help you need is in real life...she's got to be under the supervision of a psychotherapistand probably a nutritionist- too..it's important enough not to be neglected...I apologize- as I live abroad and thus may not be aware of current regulations in your area...try to involve your Family Physician- please...he probably can help...