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.
Children who are young as four years have successfully undergone through this therapy. When children are involved, the method has to be kept very simple this is involves using drawings that are easy to interpret. It is also important to involve the parent since the child will feel more secure in the presence of the parent. It is generally very easy to deal with children since they easy follow instructions and they easily accept new beliefs and ideas. At a tender age there is still high level of brain plasticity that is key for effective TRT therapy and hence results are realized much faster in comparison to adults.