Headgear n. : Headdress.

Headgear n. : Apparatus above ground at the mouth of a mine or deep well.

Example:
How can you avoid wearing orthodontic Headgear in public?

Taxonomy
headgear, hats, brim, hair, women, protection, hoods, fashion, baseball cap, List of hats and headgear, veils, Orthodontic headgear, Bonnets, Turban, Wigs, yarmulke, Caps, wearer.

Defination from the web:
headgear. ... Turbans are headgear, mostly for males, made up from a single piece of cloth which is wrapped around the head in a wide variety of styles. ...