One the post masters supervision requirement is filled a T doesn't technically need a supervisor anymore. If a T works in a group practice with is a director who may serve as a direct superior and will consult with them on cases. T's that are in private practice, however, won't have this structure and instead often consult with colleagues. Others may have their own therapist to bounce things off of. So in general I wouldn't let this effect your decision since most Ts have someone they can consult with, it's just not "supervision".

It sounds like your hesitation has more to do with connection and her personality. If you don't like her then don't bother. If she's just different from what you're used to, maybe she's worth a try. Sometimes it's good try a T that is different from the usual person you gravitate towards. A different personality can open you up to different perspectives. You may want to consider trying to see two at once so you have a backup if you decide to try one out and end up not liking them. One meeting isn't always sufficient to get a real sense of someone.