I was involved in an accident (my fault). I provided proof of insurance at the scene. I was cited with Carel?

I was involved in an accident (my fault). I provided proof of insurance at the scene. I was cited with Careless Driving. The next day, when the other Driver's Insurance contacted my insurance agency, they were told that we weren't covered. The other driver called me and I explained that I had already spoken to the insurance company and provided proof that I was covered. Within a couple of weeks, the insurance paid out. In the meantime, the other driver's wife posted many public comments spanning 2 weeks on "Facebook" about "the jerk" that hit her husband was a liar and should be shot. Many of her friends are people that I work with and/or friends of mine. She did not mention my name on Facebook, but made it clear in conversations with our colleagues that I was the party to which she was referring. She works in the legal system and pressured the police department to issue a citation to me for "No Proof of Insurance" (against the wishes of the police officer that was present on the scene who informed me that she had called his captain). I was issued a citation that was dismissed upon providing proof to the court that I provided insurance and that my insurance covered the accident. She also told many coworkers that we have in common (she works for state juvenile probation housed at a county facility, I work for County IT) that I was driving uninsured and lied to the police. I got this information from an employee who spoke directly to the other driver's wife. Should I or could I sue for slander or libel under these cirstances. I have no measurable financial damage yet but I feel this may affect any future bids for promotions at my workplace.