i hope the nurse is able to help you out, pup. to be honest, however, given that you have problems with disordered eating & anxiety - there isn't anything on that list of symptoms which i think could not be explained as a direct or indirect result of some of what your body has gone through.
which is to say, i dont think an additional diagnosis of CFS is necessary because treatment for it (like you've already pointed out) doesn't differ significantly from treatment for your other issues. but certainly i think you need help dealing with those symptoms and i hope you are able to get it.
for what it's worth, i lost 17kgs at the beginning of last year, and my BMI dropped below 16. i've had the brain scans, and let me tell you - my brain looks pretty lonely and shrunk up inside that skull

. my periods aren't normal anymore, my hair falls out in clumps, i sleep with 4 blankets during the height of our australian summer and feel cold the whole time but still manage to wake up in a sweaty mess with drenched sheets. i am lucky i have never wanted children, because my body simply cannot support me, let alone another little life. this is even though i have managed to put back on all that weight and am a "healthy" (but still slightly low) weight range. pretty much, losing all that weight fundamentally messes up the way your body works and how your body processes hormones and chemicals and everything that keeps a normal body functioning properly.
i cant actually stress enough to you how important it is that you focus on the basics of eating properly & following your dr's recommendations. i was told to have a milkshake (full cream milk & icecream) for breakfast each day, with some form of desert after lunch and dinner too. it was gross, especially when my body just didnt feel hungry anymore, and my stomach had shrunken up so much it actually
hurt to even eat half of what i was meant to.
but the good news is, i'm back to a normal weight. my hair has grown back and my eyebrows are only slightly patchy

. i can exercise if i want to, and my body's absorbing all the silly supplements i take now to keep it functioning as normally as i can. so things do get better. but if you're going to look for a "cure" for CFS, and ignore your weight issues and stress and anxiety and everything else, pup, i don't think you're going to be a very happy young lady. i know i sound all doom and gloom, but i'm saying thing cuz i want to save you the stupid hurt i've gone through.
but, to be honest, i dont think that if someone had said the same stuff to me, if i would have listened. so i wont blame you if you dont either

.