For the reasons others have discussed above, I recommend you report her to her licensing board. If you're not sure what board it is, look for her professional designation (usually initials that appear after a name on a business card or clinic listing, like "Jane Doe, LCP"). Then Google those initials along with your state (if in the U.S. - other countries likely have the same system at a province or national level). Each U.S. state licenses various forms of medical and psychological professionals, and investigates allegations of improper conduct. This does not take the place of a police report, and you can certainly do both, but the licensing board has a few advantages:
1. Licensing boards can act on lesser offenses than criminal courts. If what she did is not a crime in your state, it may still be a professional ethics violation.
2. Your complaint is evaluated by professionals in the field. The police are great, but they don't have special experience with counseling and may not realize the impact of such a betrayal of trust by a counselor. A licensing board does.
3. Licensing boards are more likely to correlate your complaint with other similar complaints. If she has been soliciting other women to falsely accuse men, it becomes a pattern of abuse and thus more serious. Police departments try to do this too, but again they are not specialized and may not connect the pattern as easily.
4. A criminal conviction may result in probation or a fine for her, while the licensing board can take away her access to patients. In this situation it is the access to patients that gives her the power to do to someone else what she tried to do to you - and that is the important thing to prevent.
I'm sorry to hear this happened to you. A counselor should be a resource and an ally. Betrayal of that trust is a serious matter.