I think her reaction is appropriate and amazing. You are not your thoughts. They are a part of you, but they are not all of you, and they needn't define you. My T has me meditate and a part of what that does is allow me to remain as I am and let the thoughts and emotions come and go. They can touch me, and they do, but the task is to feel them, and to acknowledge them, and then let them go. I'm not a guru of course, I fail at the letting go part a lot of the time, but failure is a part of learning and that's fine. I have no doubt that you are on the right path and that L is capable of helping you.