In the Latin Rite, in general, only celibates are ordained priests. This practice has been blamed by many for a seeming shortage of priests, and led to headlines such as
Will ordaining married priests save the Catholic Church from decline?
But this chart about the Anglican Church in Canada suggests that other forces are at work:
Since 1961 there has been about a 90% decline in baptisms, and about a 50% increase in the number of clergy. And the Anglicans ordain women and married men.