your idea of being falsely accused of rape is HIGHLY HIGHLY unlikely and actually almost impossible. Even the most pyscho women I've known , the types who would lie about one person to make them look bad to another person, aren't the type to make such bizarre allegations. If they are going to get revenge on you for something that's the last thing they are going to do. Besides, if you do nothing wrong even if she makes false allegations against you, she won't have a case.
I think you are scared to escalate and using that as an excuse.