It's time we took a lesson from our Orthodox cousins and considered completely opening the priesthood to married men.  It's been at least 500 years since the only place to find a literate man in Europe was in a monastery. Sick men who are sexually attracted to teenagers may become priests in the hope that their vows will prevent them from committing grave sin, and that God will thus deliver them from their sickness, but past experience has shown this isn't necessarily true.