Docs do not understand the problems of subclincal hypothyroidism. They can't see past the ranges which are idiotic. Everyone with a 11:1 range is perfectly optimal? Within range does not mean healthy!!! Insert lecture re statistical normal ranges and idiots thinking that that "normal" means normal or optimal state of health.
Check your oral body temperatures, that will settle the issue and its cheap/fast to do.
Do not waste time discussing TSH with doc until you get temperatures.
We also do not see docs asking about iodine, they have totally forgotten the basics and the state of things almost 100 years ago when iodine deficiency was horribly normal.
Do not think that your endo, or other docs are gods, most are idiots when it comes to TRT.
Doctors are mostly into disease management, not health optimization. It is hard to find the exceptional.
DO YOU USE IODIZED SALT?
Thyroid can rob your energy, mood and libido.
I have not seen a healthy guy yet with TSH near where you are.
Any low level chronic cough? That would be the statin drug.
Total cholesterol=220 is fine if your HDL is strong.
With TRT you may not need a statin drug as low T increases cholesterol.
Low thyroid function also increases cholesterol by slowing your metabolism.
If statin lowers CoQ10, that also increases cholesterol by slowing your metabolism.