I think you have been tbh. Can you self refer to ED Camhs? In some areas you can.
The problem with seeing a private psychiatrist (apart from the risk they're not following the latest advice etc) is that they're also not linked in with all the other disciplines- the nurses, dietitians etc. When dd first saw ED Camhs she had weekly appointments to have her physical obs checked, weekly appointments with a support nurse as well as seeing the psychiatrist and dietitian as needed. Plus I'm assuming a private psychiatrist is £££.
BMI should not be used as an indicator of an ED in children. WFH can be more useful but also is not helpful on its own (as this thread can attest the range of 'healthy' weights for kids can vary massively.)
Hilarity I'm a single parent and yy to having to do what you can and keep your sanity intact. Part of the FBT advice is to avoid taking your child to supermarkets but in the early days I had to either leave dd suicidal at home or take her with me and cope with the fall out 🤷♀️
I also think that's why I wasn't as strict as I should have been about dd finishing food and let some snacks go. I just didn't have the energy or stamina to keep on top of it for days, weeks, months and now years 😕
I definitely took the path of least resistance which meant my dd is generally much better, eats enough calories, is a healthy weight, going to college etc but still can not eat freely or independently and still has a lot of rules around food. I live in hope that her brain will eventually catch up and she'll choose recovery...