The term 'BISHOP's Headgear' refers to the traditional headwear worn by bishops in the Christian church. The two crossword solutions for this term are 'MITRE' and 'miter'. A MITRE is a tall, pointed hat with two peaks that is worn by bishops in the Catholic Church, while a miter is a similar hat with a flat top and two sides that is worn by bishops in the Eastern Orthodox Church. Both hats are typically made of cloth or velvet and decorated with embroidery or jewels.