Should you let chicken cool before putting in the fridge?

Yes, all foods that are to be placed in a fridge should be cooled to room temperature first. The reason for this is that if a large quantity of hot food is placed in the fridge it is possible that it could warm the fridge (and contents) faster than the fridge could cool the food and this would mean that other things in the fridge were not refrigerated properly (and may go bad). Similarly it is best to chill food that is to be frozen in the fridge before placing this in the freezer.