Hello milly
It seems like your struggles go far beyond just binging. You seem to have undertaken strong changes in your psychic makeup from anorexia to BED. I think with people like you there's a double struggle because there is phases where eating gets out of control and then there's phases when they try to "eat healthy" but actually "throw out the baby with the bathwater". Both problems have to be addressed in therapy and be taken seriously as problems on their own (not just the binging!).
Of course eating sectretly and keeping binges in secret is a big part of BED. I'm very good at hiding from people the huge amounts of food I eat . When I was around thirteen, my mother would drag me to the physician to check my thyroid because she insisted it was impossible I was overweight, though I was eating "that less".