She did really push you! But, and I want to seem gentle about it, she is right - you do need to start looking for, learning how to look for, learning how to name the emotions that you feel instead of just doing something reactive, like cutting, instead of facing the emotion.
What Improving talked about with DBT and emotional regulation sounds great, like it would be helpful for you.....and for me, too. Because I also have trouble just facing the emotions, I want to stuff them away and not name them and just not have to feel them, either. Hence, I am actually a very stormy person emotionally, not seen on the exterior, but most certainly on the interior.....there is unregulated emotion running amok and carrying me hither and yon, and no amount of intellectualizing (which is my escape instead of hurting myself, though I have done that too) really regulates it...
Your T wants to help you and I know what she said, how she said it, probably does hurt.....but think of it like tough love! She does care, she does want to help, but it's not going to be easy, and it won't be without some hurt!