T status is very low.
TSH should be closer to 1.0, thyroid lab ranges are very unhelpful.
FT4=1.16 is well below midrange 2.67/2=1.335
You may simply have low thyroid function from not using iodized salt and/or vitamins that list iodine+selenium. Check how low your body temperatures are. From the point if view of the medical community you are perfectly healthy, but can have low energy and mood problems from this.
One cannot separate the symptoms of low T and low thyroid function because the list of symptoms is largely identical.
Many here have both of this issues making one wonder if thyroid problems cause low-T or that most of the population may be in a sub-optimal thyroid state. Guys on TRT with perfect and high T and E2 levels can feel crappy with your thyroid numbers.
Your fT3, the active hormone, is probably low or perhaps getting blocked by elevated rT3. fT3 regulates ATP production in your cells, controlling energy levels as part of the body's temperature control loop. ATP is made by mitochondria and that requires CoQ10 that is deficient from statin drugs in some patients.
When you get on TRT, your muscle strength can increase fast, but your catabolic connective tissue will take around a year to get good. You need to slow down or you will tear your self apart.
Also test IGF-1 to make sure that that is good.