Anne of Cleves wearing a head garment similar to the gable headdresses of the day, painted by Hans Holbein the Younger around the year of 1539.
A gable headdress or gable hood is an accessory characteristic for 1500-1550 England. It is so called because its shape resembles the gable of a house.
I also found a link to an outline of the development of women’s Renaissance headdress for those who are interested. Here it is.