Good afternoon and thank you for the additional question!
I am very sorry to hear that you are going through such a tough situation.
Unfortunately, we as citizens have no direct control over which cases the government chooses to prosecute. You can definitely file a complaint with the DA's office and hope they take the case, but the final decision will be up to them. Most often, DA's don't take this sort of case for two reasons: (1) often time, the witness is the victim and only recanted her testimony to protect her abusive love interest; and (2) there is a good policy argument to not prosecute recanting witnesses - if they were lying when they first made the complaint (as in your case), justice prevails if the witness ends up finally telling the truth; if the witness is scared that they will be punished for telling the truth, they may maintain that their lie is the truth and that could result in an innocent defendant being convicted.
That being said, you can definitely sue her for the damages that she has caused you in a defamation suit.
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