It happens to me most of the time. I go in feeling teary and am NOT teary when session gets going.....my emotions do go blank. I don't mean to shut them down, but I think it is an instinctive, protective response that I have at times. Except for the HUGE wave of anxiety I had the other day that she thinks came from feelings not wanting to be suppressed.....
Meditation/deep breathing helped with that, and helps otherwise. T has done visualizations with me that really help too, in touching base with those emotions and dealing with them.