Do you know what your results are?
Medication is weight related so the heavier you are the more you need.
Please do get the book by the BMA called understanding thyroid disorders by Dr a toft. It's very clear about tsh needing to be suppressed.
I just found a sheet I picked up at a British thyroid talk too ages ago, given out by an endocrinologist, prof s Pearce that says clearly: the ref range for thyroid is 0.3-4.5; patients do not feel well unless tsh is between 0.3-2.
In addition; you must have good ferritin levels, (over 70) vitamin d (as good as can be really - around 100 is probably best) b12 and folate.
I think they test the b12 to check for pernicious anaemia which is another autoimmune disease, and indeed coeliacs can be an issue too. Might be worth asking for a health over haul to check for all these.
I will add, when my tsh is good (around 0.5-1, and the other things are good too) it can take 3-6 months to feel better, and I do have to slowly pace myself up to a good level of exercise too to get everything going.
The biggest impact for me was getting ferritin over 70 (130) and getting vit d right up. I think the vit c I also took with the iron helped too.