This is not a good fact of the situation, but it still could be as Cain says, innocent.
If the woman claims more and it isn’t true, she is slandering (libeling?) Cain. I think he has to sic Lin Wood on her, and I don’t mean lightly.
IMHO, this is necessary if Cain wishes to continue as a serious candidate.
He signed two books for Ginger. One says "Friendships are forever. Everything else is a bonus".