Wurfbain has been with the agency for five years and was formerly account director.
She will work alongside George Issaias, who was promoted to sales director last year.
Former sales and marketing director Kevin Jackson will leave the agency at the end of March.
Jack Morton Worldwide EMEA president Julian Pullan said: "Caroline has been responsible for outstanding work in the development and nurturing of our global clients. I’m looking forward to seeing the positive impact of her robust skills and qualities in lifting our success in attracting new clients."