Whataguy7, I have similar feelings for my T, she has over run by an hour and every session always overruns by at least 30mins. I can identify with what you feel however I know my T is just doing what I pay her for. I really doubt any T, especially female would ever come across as anything but what you describe.
I saw my doctor today, she is about 10 - 15 years older than me and she also has these T qualities of being kind, empathic, sincere, attractive, great personality etc. My point being, it could be easy to misread the situation although of course you might be right, she might like you a lot, we will never know.
Just don't get your hopes up and play it carefully otherwise you might end up losing her.
I know my T probably likes me, just the same as she probably likes a work colleague or a neighbor, I've gave her no reason to not like me, but I'm sure when I'm at home thinking about her she is at home having fun with her husband and children and I am the last thing on her mind. The reality is we are 'work' to them, if we get on well with our T's and it becomes friendly then great, I seriously doubt anything else would ever be anything other than fantasy in our own minds.