Should I consider it a rationality failure if I exhibit resistance to psychotherapy?

What is this sentence like without the word rationality?

I just cannot map them unto my own experience. My therapist says I'm not giving her enough to work with.

Can you articulate to your therapist why you are having difficulty? It could be that the two of you are not a good match, or it could be that she can work with you, so long as you're open.

While I'm not very sure that a therapist can or would be sufficiently subtle or insidious to modify me in a direction of which I do not approve, I'm worried that this is a possibility or that it is required in order to get any positive effects out of it.

If you're good at fixing the parts of yourself that you let yourself fix, you should expect that the thing you would get the most benefit from fixing is likely to be a part of you that you don't let yourself fix.

My recommendation here is to differentiate long-term and short-term changes. You can make significant changes on a probationary basis, and change them back if they aren't working out for you.

I'm not sure what a therapist can do to help me out of it.

Broadly:

1. A narrative shift. Therapy could propose, or help you discover, a narrative that fits your situation but has a more hopeful interpretation.

2. A mental behavior shift. Therapy could help you identify the beginning of negative spirals, and cut them off before they get too strong.

3. A social behavior shift. Therapy could help you interact with and relate to people in a different way.

Those three are highly related, and so they can't really be separated--but it is useful to think of them on different levels.