When I first read this story, my first reaction was "OMG. I can't believe the victim not only had the courage to report it, but that the hotel staff took her seriously enough to encourage her to call the police - given who the alleged rapist is."
We are talking about an immensely powerful man here. Immensely powerful. A person trying to extort money from him would have known she'd have no chance. She'd have known that if it came down to his word against hers, she would lose. A man like that has the power to influence public perception quite strongly.
So why do it? For what ends?
Maybe, just maybe, he did it and she thought because he did di it there would be evidence and she might actually win the case and get justice. Just on the balance of probability and logic, I'd say the chances are she's telling the truth, and that's quite aside from my feminist principles that we believe all victims until proven they are lying.
I don't care what she's done in the past. I'm interested only in what went on in that hotel room and I have no reason to doubt her story in that regard. I can't see any motivation for lying.