Imo she seems overly defensive. She is not hearing you. Granted, I don't know what is going on through her head but it doesn't seem like what she is doing is very 'therapeutic' but more like scoring a point.

The exchanges between the two of you read like some sort of badminton match where she seems engaged in volleying the ball away from her..

She is dismissing the impact of what she says, or of what is happening in therapy, on you. So yes, she does come across as taking your comments/feedback personally.