Working HCG Mono Therapy but No Libido or Sex Drive?!

All men have some pregnenolone–>progesterone in their adrenals

These small levels of progesterone are not HPTA repressive.
If you are using small amounts of progesterone to get normal male levels, there should not be a problem.

You will get some added progesterone–>cortisol.
Is your AM cortisol low? YES, but 10:18 introduces a lot of doubt
Do you take at night?
Helps you sleep or wakes you up or neutral? - sleep better

The concerns re thyroid and transdermal T absorption probably apply to absorbing any steroid hormone.

As for E2
SHBG: 74.5 nmol/L (before: 58.2)
E2: < 10 pg/mL (before: 25)

You made many changes to your diet, nutrients and activity. Hard to make conclusions.
Your FT increases and SHBG increased too. Very odd. Progesterone is doing something unexpected.
Try reducing progesterone.

With women taking larger amounts of progesterone to correct abnormal bleeding and thickening of the endometrium, large doses will affect their HPOA and reduce LH/FSH. At some levels, the same will happen to men. E2 is the largest lever on the HPOA.