I would say exactly this post to your T and see what she says just to be sure.
You are protected under client confidentiality so she shouldn't have to say anything to anyone, nor write any names down.
You are not a danger to yourself or others either so again she shouldn't need to mention it to anyone.

I totally understand the need to say the name in relation to the trauma to process it and move on.

I really hope this works out for you. Good luck!