I'm going to copy and paste a good chunk of another reply I just used because of similarities.
Your testosterone is without question low, but there is typically a cause. Some concerns at the start. You need more labs before injections begin to get a baseline; most importantly e2(estradiol), t4, t3, rt3.
The more fat men carry, usually correlates to higher aromatization/conversion of T (testosterone) to e (estrogen). Estrogen getting too high will negate all effects of T and will make matters worse.
T to e2 can be reduced by reducing T spikes/peaks which is done by more frequent injections of smaller doses of T. Once per month injections is idiotic. Minimum is once per week due to half-life of most T esters. I like injecting EOD or every other day.
If e2 is still high after the above then you either need to reduce T dose or use an aromatase inhibitor. The most common is anastrazole/arimidex. Typical arimidex dose is 1mg/100 mg test.
Are you done having kids? Your testicles will atrophy without hCG.
Also at home you can test your thyroid function by testing your body temps both upon waking before getting out of bed. No talking, drinking before etc. and also around 3 pm as well.
Waking should be 97.4 or above. Afternoon you should hit 98.6. Write these down for a few days for us and your Dr.
Its good that your Dr is willing to treat you with TRT but he doesn't know what he's doing from the sound of it. He appears to be operating on antiquated methods and isn't up to date with modern HRT (hormone replacement therapy) treatments. Youre going to need to educate him, go along on a rollercoaster ride while he learns if he wont listen to you or find a new Dr.
If I were you, I would spend your time and resources finding a Dr who will allow self injection, is open to use an AI if your E2 becomes too high and also hCG to preserve the function and form of your testes.
You can start by using google maps, identifying pharmacies and compounding pharmacies, call them and ask them to suggest a Dr that prescribes T, arimidex/anastrazole and hCG.
When/if you get to the point of self injection, you can use smaller syringes and inject subcutaneously, no need for intramuscular to avoid scar tissue on your muscles over the years.
Report back and good luck.