Dunk corn husks in water, blot slightly on paper towels, and wrap around wreath, overlapping edges of husks to form a first layer that covers straw entirely. Secure undersides of husks with T pins as you go.
To shape radiating husks: Dunk husks in water, blot slightly, and temporarily pin to wreath so they dry naturally in draped, curled, or undulating shapes. Go around the wreath, creating several layers. Let radiating husks dry a few hours.
Permanently attach radiating husks a few at a time, using glue gun to position on wreath. Attach in layers, tucking additional husks behind until you reach desired fullness. As you go, use scissors to trim husk lengths and widths.