I get annoyed with my T when he suggests I get support elsewhere like friends or family. I want to tell him, hey genius, if I had support in my regular life I wouldn't need you, would I??
I think that it's ok to tell your T that without his support, why should you open up to him?? Maybe he will recognize any countertransference on his part. To me anyways, it seems he is passing the buck on this one.