I am a native English speaker and I think a good argument could be made that I am not fluent in English. It is a really hard language with strange rules.
I am very attached to my T and he knows it and is welcoming of it. From his training it is through the attachment to him that healing happens. And, sometimes I honestly feel like he is treating me the way he would want his daughter treated if she were in my position. I am deeply thankful for that willingness of his to be nurturing and real with me. My husband jokingly calls him Dr Dad when I talk about those moments. What you are experiencing sounds very normal. I hope that you have found a therapist that can be supportive of that attachment.