I too have been found to have (very) low testosterone, but my gp says the normal range is huge and for younger men than I, so I'm not really low (for my age)..... My wife sent me to another dr (an environmental specialist - not a real specialist, just a gp with extra training that some would consider a bit "out there") who wanted the test and was keen to provide the supplement (cream) - I was also "diagnosed" with "pyroluria" and told to take lots of (expensive) nutrients.... but I digress.
The testosterone has literally been a life saver. So much so that after 18 years of AD's I've been able to come off them - with the support of a new (number 3) psychiatrist - and start to look at the real problems that got me down to start with.
"try a third medication?" what do you want the AD to do? discuss this with your dr's as the drugs can only do so much - there are no miracle (drug) cures.
" try a psychologist?" or a psychiatrist who will do "talk/mindfulness" and is realistic about what AD's can actually do.
Don't be afraid of finding things out for yourself and questioning what the doctors tell you - you have no doubt found this out in trying to get testosterone supplementation (my gp is glad that it is working but won't give me a script for it and psychiatrist #2 didn't want to know about it and #3 had never thought of it but is open to the idea).
My biggest mistake was sticking with psychiatrist #2 for so long - the protocol was; ask a few questions, give drugs, give more drugs, question thought patterns, give different drugs, give more drugs, chat about stuff (I don't think he got out much), mention CBT, challenge thought patterns, give more drugs, say "just hang in there".... Drugs were easy, but they weren't a complete solution - the solution is much harder and I need some-one to push me. Dam!!!!
My advice.... be patient, try one thing at a time and allow yourself to feel bad (but only for a while) - I wish I could take my own advice.