Oh my gosh, it's like you read my mind!
I felt exactly the same about crying in front of her; I was always told off as a child for crying, and I was always told bad things would happen if I cried. But let me assure you, it is an amazing feeling when you let everything out, and you can relax, and you find out that your T is really supportive and won't tell you off for crying
There is hope, just don't be afraid to show how you really feel - that's what therapy is all about, right?
Good luck!