Thank you, skysblue. I appreciate your kind words to me.

I agree with you. I know my T mostly from our interactions, and I probably know her better that way than from knowing anything personal about her. I also know her from the things in her office, but that's something else. The connection between my T and myself is NOT based on anything I asked her, or looked up about her. It's based on the way she interacts with me and how she treats me.
I've been wanting to read Wallin's book. I've seen him talk on youtube.
My T doesn't judge me about boundaries. She's just curious about why I do things. We talk about rules, like about the email situation. It was trial and error. She changed them because, as she said, we have to readjust as she got to know me better. Everything is okay with me and my T!
I'm even okay about getting triggered when she was on the phone laughing, after my session yesterday. It's the baby/child part who was upset, and that's something to work on more. I observed my reactions and could look at it non-judgementally. The incident gave me information, and I am sure that my T and I can use it to help me heal from the wounds that cause me to be triggered in situations like that.