I agree with Lola.

Be completely honest with your T, and tell her what you shared in here.

It sounds as though your T was very concerned about you that day, and thankfully, did the right thing. She cancelled her upcoming appointment and saw you, to make you see that she does care about you. That is good. While you appreciate the notion, you still have some emotions towards her that you're struggling with. And it is your T's job (one that she learned to do) to listen and validate your emotions.

You both have the same goals in therapy: to make yourself stronger and feel better.