This is one of the times that matters. Only the Latin Church, the largest of the 23, requires priests to be celibate.

The other 22 Catholic Churches known as the Eastern Churches allow married men to become priests, but not to advance any more.

But even this is a bit of an oversimplification, because priests in the Latin Church *can* be married under certain circumstances;

most notably, former Anglican priests who *were* married at the time of their conversion to Catholicism are not required to relinquish their wives.

But as with the Eastern churches their marriage prevents them from rising any higher.