I have no idea why you ended up with a Rheumatologist. Everything points to some kind of thyroid problem. TSH is useful only in diagnosing an overt primary hypothyroid problem. For diagnosis and treatment it is far better to evaluate for symptoms typical of hypothyroidism along with the actual thyroid hormones, Free T4 and Free T3. So please tell us about all the symptoms you currently have.
If not tested for Free T4 and Free T3, I highly suggest you do so and make sure those are tested every time you go for tests. TSH is totally inadequate to determine your thyroid status. Also, if possible get tested for Vitamin D, B12 and ferritin.