You are 100% innocent of the crime. There was no ambiguity in the situation. She isn't just interpreting the event differently then you. She's lying, you know she is lying, and she knows that you know she is lying. Perhaps she wanted a relationship with you, and feels like you used her for sex. Or maybe she sees an opportunity to get rich through a lawsuit. Or maybe she is just a malicious cunt. But unfortunately for you, she is a convincing liar and was smart enough not to leave behind digital proof of her lying. The authorities believe her, and you are going to go on trial.
So you come up with a pretty good plan for murdering her. Let's say that your odds of getting away with the murder are about the same as your odds of being found "not guilty" at your rape trial. If you are found guilty for the murder, you'll do 40 years in prison. If you are found guilty of rape, you'll do 10 years in prison. Do you kill her? I think I would. I would rather spend 40 years in prison for something I did do then 10 years in prison for something I didn't do. Plus there would be the sweet satisfaction of knowing I got revenge.
So you come up with a pretty good plan for murdering her. Let's say that your odds of getting away with the murder are about the same as your odds of being found "not guilty" at your rape trial. If you are found guilty for the murder, you'll do 40 years in prison. If you are found guilty of rape, you'll do 10 years in prison. Do you kill her? I think I would. I would rather spend 40 years in prison for something I did do then 10 years in prison for something I didn't do. Plus there would be the sweet satisfaction of knowing I got revenge.