I thought her response was good, she seems willing to help. She also gave a rather lengthy reply in my opinion, and it seems like she really cares. I don't think she is giving up on you at all, but I have felt that way before so I can relate to those feelings. I once said to my T "please don't give up on me!"
btw.. I don't blame you for feeling overwhelmed, moving is a huge job that can feel really overwhelming, especially when your feeling depressed. Best of luck to you with everything Hope you feel better soon.