I thought that you were starting T gel TRT.
Please note that we have a very strong pattern of guys with thyroid problems not absorbing T gels and creams. So that might affect you. But these guys then seem to be able to convert T-->E2 in their skin. The only option then is injections.
Has a doctor inspected your testes?
Does anything feel strange?
Odd ratio of FSH:LH, concern is testicular cancer which is a young men's disease, always good to check with hormone profiles like this.
TSH too high - from IR
fT3 is low relative to mid-ranges, explains low body temperatures.
fT3 is well below midrange=11.5
You are not producing enough T4 and that is not from a lack of TSH.
LH is low, secondary hypogonadism. The cause is not prolactin. E2 is elevated a bit, but does not explain.
With low T, FT will be low and FT-->E2 production will be low. E2=31pg/ml may be from poor E2 clearance by the liver.