A field hand was a person who was employed as a laborer on a farm.
Gul Dukat compared Shakaar Edon to "a lumbering, simplistic field hand," and wondered aloud to Kira Nerys, how "a woman as intelligent and sophisticated as you could be attracted to [him]." Kira retorted that "that lumbering field hand is the First Minister of Bajor. And he knows more about how to talk to me than you ever will." (DS9: "Return to Grace")