It sounds to me as though you want a kind of care that is different from professional care--like a friend or a family member. But a therapist is neither of those things. It is her job to get you to talk--it is, after all the talking cure. I see nothing wrong with her using whatever "techniques" to make you comfortable and allow you to open up.

Pretty sure I've written this before, but--it sounds to me like you really need to stop paying so much attention to your T and just pay attention to yourself, what's on your mind and what you can learn about yourself in therapy. That way you don't need to have a "perfect" therapist. It's on you to make the most out of therapy.