To me it sounds like a perfectly normal reaction to whats going on in your life. I don´t know if you set really high standards for yourself both academically and personally? We all feel alone, tired and sad sometimes. It´s not a medical disorder it´s called being "HUMAN".
However: As I don´t know anything in details as to why you question being depressed and why you have physical pain, I would run this over with your T ( again) and a GP.
Some AD´s do target certain types of pain, as others have said. A medical doctor will be able to advice you. Also I would ask why they don´t want to provide you with more pain relieve. Not being taking seriously with a " pain" issue can inflict more pain. Usually it´s good to have an in detail explanation of why they choose to treat you the way the do. Maybe they have some other suggestions to offer.