Why is worshipful master of the masonic lodge the only one who wears a hat?

In most societies, women's head coverings are a sign of modesty and symbolic submission (usually being under a man). But as well, in most societies, men's head coverings are a symbol of power and authority; taking it off for men is a ymbol of submission to someone else's authority. Consider the Pre-Vatican II Catholic Church. The Pope, Bishops, and Archbishops used large ornate headdresses. Nuns, on the other hand, were "covered" literally from head to feet.

In Masonry / Freemasons, the master's hat shows authority. As well, it is argued that wearing the hat denotes freedom and equality within the group.