I found one of my bestt's at the university's mental health services. I guess it depends on the school. That one was staffed with a combination of licensed therapists and students working towards their doctorate or licensing. They handled a wide variety of issues (and I believe still do). It was also a huge university with multiple mental health clinics, one run by each department offering a degree in a mental health field in addition to the one associated with the school's health center. I was dealing with a moderate eating disorder, severe depression, dissociation, and self harm at the time, and they not only kept seeing me, but helped keep me in school at least part time so I could finish my degree and not have to return to a really crappy home environment. That said, one of the girls in my dorm made a serious suicide attempt and they referred her out (and she left school)...
I think calling them to ask about their services may be a good idea. If they handle mostly mild depression and stress or anxiety, they will be able to tell you.