Legal Question in Criminal Law in Oklahoma

The District Attorney could possibly bring charges against the woman for failing to obey a subpoena or for perjury if she testified under oath and gave false testimony, but it is highly unlikely that they would do so because they generally don't want to do anything that would discourage people from bringing possible law violations to their attention.

Based on the facts you have given, the man could possibly have a civil cause of action for malicious prosecution against the woman. In order to bring a claim for malicious prosecution the man has the burden of affirmatively proving five elements:  (1) the bringing of an original action by the defendant, (2) its successful termination in plaintiff's favor, (3) want of probable cause, (4) malice, and (5) damages. There is not enough information available in your question to determine if the man can prove all 5 of those elements so he should consult with an attorney to discuss the details regarding the prosecution which was pursued against him, and determine if he has any possible remedy.