TT consists of FT, albumin+T and SHBG+T
Read the advice for new guys sticky if needed so these terms make sense.
If SHBG increases, you get more SHBG+T and less FT. So TT goes up. But SHBG+T is not bioavailable, so you do not feel right.
SHBG increases if E2 increases. E2 can be high if there are liver problems and AST/ALT lab results are needed. To control E2 you would take anastrozole.
In your climate, you are probably vitamin-D deficient. The lab test is vit-D25. Or you can find 5,000iu vit-D3 as small oil based gel caps.
Have you always used iodized salt?
Feeling cold easier this year?
If androgel did not absorb, it could be a thyroid problem as that is a symptom of hypothyroidism.
Labs: post with ranges
LH/FSH [too late now, should be pre-TRT]
Need details about you as per the advice for new guys sticky.
Are you inland or by the sea?