If you are ok with this, I think you should print this and have your T read it. I think you stated your problem really well. You shouldn't be changing yourself to make your T feel okay. You didn't hire her to help her.
Hmm....I won't expect Ts to remember everything about us but that is troubling that your T doesn't seem able to remember certain bits about your life that is a concern to you. I would REALLY let her know this. Don't give up on trying to get her to understand you. Do you not believe your T is there with you even though she says she is because you feel she doesn't offer you any real words of comfort and her words are just words to you? What would help you believe that she is there with you besides her words? Whatever the answer is, I think you should let her know. It's important that she understands where you’re coming from on this problem. Be strong.
Change is hard to see especially within ourselves. Please don't think that you're alone. You have us here on PC you know? Please don't be whatever you think she wants you to be. Just be you. Be true to your heart and be true during your sessions.
I'm sorry you're going through this.