A retractable sunshade cap includes a crown having a forwardly extending visor, three sunshield members, and fastening members. The bottom end of the sunshield members are permanently attached to the base of the crown using permanent fastening members or sewing stitches or other permanent attachment methods. Left and right sunshield members are disposed with their front ends attached near the front centerline of the crown so that they drape forwardly down the side of the visor. Rear sunshield member is disposed so that it drapes down from near the rear crown portion. Detachable fastening members are deployed to secure angled folded flaps that reduce the size of the sunshield members for storage, and are also deployed to secure portions of the sunshield members onto the crown near its vertex for independent retraction and targeted shading of the face and neck.