Was the t you saw today a potential new t?

I think your email shows great initiative and your eagerness to get working with a therapist. I do agree with others that perhaps outlining the basics of what you want to address in therapy would be a good start for step 1. Maybe save more of the details and boundary inquiries for step 2. I think what you have written in your email is important for the potential new t to hear but maybe just wait 'til you know whether or not that t is even accepting new clients.

Also, if you are going to email t's, asking questions (Are you accepting new clients? What insurance do you take? Or, what is your hourly rate?) might increase response rate times.