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Assuming these postings are lies (e.g. you're not a compulsive liar or cheater), then you could sue her for defamation, namely libel. In other words, you'd be suing her for making false and defamatory comments about you that damage your reputation. You could also write her, or have a lawyer write her, a cease and desist letter demanding she stop making such comments.
As for criminal charges, I don't see any that would apply to this case, except possibly criminal harassment if the postings are incessant and for the purpose of intimidating you.
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