The judge decided based on the evidence, true or false. You can sue, of course, and can search out an attorney here with AVVO search. It may be hard to convince a jury the the psychiatrist had a reason to lie that was so compelling that she would risk her license to persectute you. When you get your AVVO search results, review profiles, pick one you like, call and discuss fees. Make an appointment.
We do not have a client/attorney relationship until you make an appointment, we discuss your case face to face, I accept a retainer, and we explictly agree to enter into representation.
You have not mentioned what "lie" she was caught in or whether it was a material fact, a discrepancy, or a minor detail. I doubt that you will be able to find a lawyer who will pursue the matter but you can call Avvo lawyers and get free consultations. You would need absolute proof of misconduct and money damages.