I agree. She made up the rape and she knows it's a false story. I don't think she hallucinated it but I do think she's disturbed.
I think she made it up to get out of a bad situation at Durham Access. In fact, apparently someone asked her if she had been raped and she said yes and I think she realized that was her ticket out.
That's more than "disturbed" ~ before modern medicine came along these folks were locked up most of their lives except for their few lucid periods.