The Church in the Nuns Complex Published September 10, 2015 at 1280 × 960 in Exploring Cancun Part 2: Chichen Itza ← Previous Next → The Church in the Nuns Complex Archeologists are not sure the purpose of this building. To the right of the Church is the Nunnery. Again, they aren’t sure of the purpose of the nunnery, but have thus named it because the floorpan resembled a Spanish convent.