ME and fibromyalgia

Has anyone else (England) been told the ME specialists won’t accept your referral because you’ve already been diagnosed with fibro? Been referred back to rheumatology again, last time they promised me the earth and then the only follow up was a physio appointment where I was given advice to strengthen my core muscles. That was it. That was 3 years ago. For the last 5 months or so my ME symptoms have gotten so bad I’m now housebound and cannot work. Feeling completely hopeless. I just asked the GP if this means I don’t have ME, she said I do but they won’t diagnose or treat me as I’m already “being treated” for a similar condition. Anyone else?