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.
Do you suffer from any of these symptoms? Taking certain medications will also lower your testosterone levels. All it takes is one blood test in our clinic to determine whether or not your hormones are insufficient . Your bloodwork is covered by insurance with no co pay, or if you chose to pay cash, the cost is $ for females and $ for males. This lab test for females includes total testosterone Estradiol, follicle stimulating hormone, progesterone, Thyroid stimulating hormone, free T-3 , thyroid antibodies and Complete blood count . For males, we will need total testosterone, prolactin, thyroid stimulating hormone, free T-3 , thyroid antibodies, PSA, and complete blood count.
A 2010 study revealed that a decrease in T explained much of the loss in phase III and IV sleep, or "deep sleep" that is characteristic of aging males.  At age 50, men spend 5-7 percent of their sleep time in Phase III and IV and by age 60 it is nearly zero or nonexistent. Young men, on the other hand, spend 10-20 percent of their total sleep time in these stages due to neuronal integrity and abundant testosterone levels.