I'd say the most important question is: do you feel comfortable talking to this person?
Working with a therapist can potentially be life-changing. The range in quality of therapists is shocking. The importance of a "good fit" for you can not be overemphasized. A therapist that is not competent or not a good for you can be ineffectual at best, and potentially do more harm than good. (Speaking from personal experience here).
Too many people defer to their therapist as an authority figure without recognizing that this person works for you. I would interview more than one and see what the options are - you may be surprised at the differences. Spend some time with them before making a final decision. And if you have the option (sounds like you do), I would not spare expenses when it comes to your mental health. It may seem like a lot, but saving a few bucks to go with a less expensive therapist (or one that is covered by your insurance) can end up costing you a lot more in the long run if the more affordable option is not a good fit. (Again speaking from personal experience here...)