Personally, I live in the US and DON'T trust doctors here .... one in particular almost killed me by mis-diagnosing me and prescribing the wrong meds!
Could have filed a malpractice lawsuit for that one but decided wasn't worth it.
Our healthcare system is seriously flawed to say the least.
That said, I am sure there are good doctors here too, I just haven't encountered any.
Re the OP's situation, regardless of where she lives, any doctor(s) who refuses to give a blood test, tells her she has "a" fibroid or "something" .... refers her to a urologist when clearly her condition warranted she see a gyn, which took them over a MONTH to realize, at which point they inform her it is actually her ovary, is seriously incompetent imho.
Like in the US, I have no doubt there are some good, even great doctors in UK too, but the doctors who treated her in *this* situation aren't part of that group.
Again jmo based on everything OP has posted to date.
Good luck OP, and please keep us posted!
Fingers crossed it is nothing serious and you feel better soon!