Yobeth - this is just a thought, but do you think maybe you might not be testing what you think you are testing? You say you are testing her to see if she cares about you, but I wonder if maybe these tests, like this email thing, might actually not be a great indication of that at all.

I have a T who cares about me a lot. It took me a really long time to figure that out. You know why? Because I was looking in all the wrong places! For example, I figured that if she cared about me, she would send me emails to check in if she knew I was having a rough time. But she didn't, and so I just concluded that she didn't care. It turns out that she wasn't sending me emails because she knew people have walked all over my boundaries all my life, and so she was trying to respect my space and was always waiting for me to initiate email contact. She was caring about me more than anyone I knew, but I didn't know how to see it.

So, like I said in my last response, I think your T probably does care about you, and you might just not see it right now. You said that your T always responds to your emails, and usually does it within 12 hours. I will say again, this to me sounds like the actions of someone who cares. Maybe instead of looking for confirmation of all the ways she doesn't care about you, it might be good to try to look at all the things that would show the ways she does care?