A Buddha priest is a Buddhist Priest.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
That Buddhist priest will reach the age of ninety-nine in one month.
Koichi's pun was so lame that the Buddhist priest looked like a deer in headlights.
The witch set even the Buddhist priest’s heart on fire.