Can you confirm with her under what circumstances she might terminate you? I feel it's very unlikely she would do so because you expressed negative feelings towards her - it's normal for a client to have those feelings, and they can be worked with.

I asked my T before I got into discussing my feelings about him to tell me if it was possible that he'd leave me - he said he won't leave me unless he dies, or is otherwise incapacitated. That seems a bit too good to be true to me, but it does help me to feel okay with expressing myself towards him.

Though I haven't said I 'hate' him, I have expressed very angry feelings towards him. There's definitely been no sign of him 'terminating' me because of it...