You have to look at any underlying reasons why cortisol is high. There are three main reasons: physiological, psychological, and chemical stress. The first could mean an infection, dealing with inflammation (e.g., from allergies), the second from anxiety and stuff, and the third from things you're putting in your body (which would probably cause inflammation).
And I can almost guarantee that if your cortisol was this high when you ran your T numbers to reveal a diagnosis of hypogonadism that high cortisol is the reason for your low T. Sapolsky says that the very moment a cut is made by a surgeon for an operation is when testosterone goes way down; i.e., you're dealing with physiological stress.
