A female connector structure is provided with a shielded cable configured such that an outer periphery of a coated wire including a core and an insulation coating is surrounded by a braided wire, a female terminal including a wire barrel and a connecting tube portion and to be connected to a mating terminal, an insulating dielectric for surrounding an outer periphery of the connecting tube portion, and an outer conductor including a shield connecting portion, the outer conductor surrounding at least the coated wire. A part of the outer conductor corresponding to the coated wire exposed from the braided wire is formed with a projecting portion by causing a part of an inner surface of the outer conductor to project from other parts radially inwardly of the outer conductor, and an outer surface of the outer conductor is not depressed radially inwardly of the outer conductor.