I think she has a point. You count calories to the last tiny calorie. You wondered yourself whether intuitive eating might be better for you. I think that you inquired about it because you realized that there was an obsessive quality to this calorie counting. This does not qualify as "just wanting to lose weight to be healthy". This is above and beyond that. If you have a history of ED, she is well within her right to be on high alert for red flags that it might be coming back. Better safe than sorry, she might be thinking.

Since I do not know your history, may I ask:
What kind of ED did you have? How long did it last and what were your symptoms? How was it treated? How long have you been in remission?

What makes you think that you are unhealthy at your current weight? Do you have bad labs or what? Are you out of breath? You seem to be exercising just fine, your blood pressure is mostly fine, so I am not clear what exactly makes you feel that you are unhealthy. BMI by itself is a bad predictor of health outcomes.
@Mountaindewed