Described herein are sweat-diverting devices which can be adhered to a wearer by an adhesive. The sweat-diverting devices described here may be adhered over a portion of the face without circumscribing the head. Such sweat-diverting devices may comprise one or more curves or other features that conform to the facial features of the wearer. In some variations, a sweat-diverting device is configured to be worn at various heights on the forehead, over or under the brow line, and/or over the eyes. A sweat-diverting device can also be used in pairs, for example, where one device is positioned over each eye. Sun-shading devices, with or without sweat-diverting features, are also described.