I can understand your worries! although i have never seen a T at their house before my T has moved offices and it freaked the hell out of me. I was concerned that I no longer mattered and I was going to be tossed out on the kerb but to my relief my T remained the same and although it was a different environment i found that my connection to T still remained the same.
I won't lie though I did kick up a bit of a fuss and I tried to push my T away before she could, my first session in that new office was horrible- not because of my T being different or of the space but it was horrible because I made it that way! I went in with the view that this was the day that T was getting rid of me- I was going to be abandoned once again, I sat in silence for most of it and when T tried to help I just attacked everything she said- I left feeling the worst I had ever felt.
It wasn't until my session a couple of days later where I openly told T how the move felt for me and we were able to discuss my feelings that I was able to realize that I wasn't being abandoned.
Now I love that space and I think that the change although hard really helped me to grow. So my advice would be to be open and honest with your T, tell her how her saying "nothing will change" has made you feel, tell her everything that is bothering you regarding the move, cause the more open you are the more your T can understand and help you through it.