For me it depends on theoretical orientation, and of course, connection, which you won't be able to judge until you actually meet the person.

I have had three therapists in my time. One was an MSW, one was a psychologist, and my current T is MSS, LSW. The way I came about finding my current T was because I was looking for someone who:

a. is eclectic, but whose foundations are in psychoanalysis and psychodymanic therapy

b. is male

c. works on a sliding fee scale

One really interesting thing is that I didn't know what degree he had until about 2 years into our therapy... that's how little it mattered to me.