Abstract: Headwear, such as visor or cap, which has a bill for shielding the wearer's face, which bill extends from the headband that encircles the wearer's head. The bill is attached to the headband along its inner edge and has a wire-like, flexible member which extends along the outer edge or periphery of the bill. The wire-like member serves to maintain the bill in a fully extended condition when worn but has sufficient flexibility to permit the bill and headband to be folded into a compact, collapsed condition and to fit into a small pouch or pocket for storage.