Maybe be specific in the request for a referal instead of just mentioning being depressed. I was lucky because I just called a number for the group & described the issues I had & the dx from Calif & they put me with the psychologist that was very experienced & she got me into the DBT group with the other outstanding psychologist. The first one retired but I truly was blessed by the 2nd one & followed her to her private practice when she left the group.
I couldn't take medications because of all the bad side effects so therapy was my only solution & it also proved that my depression was situational & once I got out of the situation I could focus on what I needed to learn to heal & how to handle situations better in the future.
From my years in the MH system I found that basically psychitrists just throw meds at you hoping it solves the problem, psychologists actually work with us to help us understand ourselves better & help us resolve the issues & our ways of handling situations that cause our distress. Both can sometimes be necessary other times not. I never bothered getting a psychitrist after I moved because I couldn't take the meds anyway & the one I had in Calif was only there because I was on disability at the time