I think this approach is fine. I must say having been doing this for years, treating hundreds and thousands of men I have been underwhelmed with the results with topicals. Injections can cause peaks and valley and I have many younger men inject twice a week that smooths out the peaks and valleys. I think it is appropriate to follow the advice of your primary doctor and endocrinologist. I have just seen too many men spend months or years with gels with sub optimal results. Many men are diagnosed with depression and are not really depressed (I have no idea if this applies to you), but the presumed depression is base dupon low T.
My recommendation would be to pursue this but if a few months pass and results are modest consider another approach. Pellets are one approach to have smooth levels of T and are placed every 4 months.
I had a sudden onset of what has turned out to be severe and lasting tinnitus following completion of a course of antibiotics to treat bacteria found in my digestive tract. The consensus is that the drugs caused an allergic reaction which injured the hairy cells of the ear. The injury was accompanied by a brief episode of vertigo which resolved. At first, I thought I would go mad from the constant ringing and other sounds. Oddly, I have adjusted so that I can live with the noise which is always present. Thankfully because there is no cure.