Don't remember the title of the episode, but I recall it well. Her opponent was Mary Ann Mobley, former Miss America. The premise of the mission was to break some scientist out of prison from somewhere behind the Iron Curtain, and the catfight was used as a means of distracting the guard.
BTW, I can picture the guard, but can't remember his name, as he went on to enjoy a successful acting career.
Not much help, but I'll do some research.