Hi KittyBee
Yes you are peri-menopausal! If you are over 45 and your cycle changes ie periods become less frequent and you have menopausal symptoms - that's it. No need for blood tests except of course to rule out other things eg vitamin and mineral deficiencies and general health, also thyroid function which can also start to go awry at this time.
However if your FSH levels were that high in 2017 and your cycle was becoming erratic back then, you have been peri-menopausal all this time. If you were diagnosed with firbomyalgia at the same time then it is possible that menopause is the cause and your declining hormones, provided thyroid is working well. They are doing you a disservice by sending you down this route. In my view your symptoms are either menopause or thyroid or both.
I would go to your GP and mention all your symptoms and say you think it's menopause (if the symptoms have happened in the last few years), and ask for baseline blood tests of other stuff ( thryoid, blood count etc) to check your general health.
I would also strongly consider HRT. You are not getting old! 47? You are a youngster! It is not normal to have those symptoms and accept them as part of ageing or rather expect to live with them for the next 40 years or so! If your periods have become that infrequent then you may well be in the last stages before menopause itself and as such, given your age you should really take oestrogen in the form of HRT( if no medical reason why not) to help protect your heart and bones. You should be pleasantly surprised at how some of your symptoms are relieved!
If you need any further help please do ask. There really is no need to suffer like this!
All the best and let us know what you decide
Hurdity x