The term 'BISHOP's Headdress' refers to the traditional headgear worn by bishops in the Christian church. The two crossword solutions for this term are 'MITRE' and 'MITRE'. Both words refer to the same item, a tall, pointed hat with two peaks that is worn by bishops. The word 'MITRE' is derived from the Greek word for 'HEADBAND' and is also used to refer to the liturgical headdress of other religious figures, such as abbots and cardinals.