I wouldn't put the information for the PA in the same email. (1) The implies your T can forward this email to your PA in its entirety. Is that what you intend? (2) The information may not get to the PA at all.

In the least, send those messages directly to the person they are for. Instead, word it something like "I have emailed your PA my request for my records. Any further correspondence concerning my records will be conducted through her.

But honestly, you are still engaging in a conversation with your T, even if you say she won't respond. Don't engage in the "I'm going to have the last word" thing. If you need to work through this, do it with a competent therapist; file a grievance down the road if you must (I'd wait until I had my records first). But this email just comes off as one more attempt to have the last word. Disengage entirely. It isn't going to prove anything; it isn't going to fix anything.