If the doctor failed to specify male “E2 sensitive” testing the lab will automatically revert to the female E2 test. Your T levels are supposed to drop throughout the day, how fast thing happens is unique to the individual.
TT, FT, E2 and SHBG are pretty standard for a 4-6 week follow up labs after initiating TRT and at the 3 and 6 month follow up labs. These tests will tell you how you’re responding to treatment and unless you’re having problems (adrenal fatigue = low cortisol, thyroid issues) more test could be needed.
We see a lot of guys who begin TRT and experience underwhelming results, this is likely do to a weak lagging thyroid that can’t keep up with the metabolic rates that good T levels attempt to restore, the patient can feel even worse than before TRT.
Being in the normal ranges doesn’t mean you’re alright, if your body performs optimally in the 900 TT range and you’re at 400 range, that isn’t alright. This is what most doctors fail to understand, inexperienced doctors who are lazy non critical thinkers will fixate on lab numbers so they can get off easy and on to the next patient.