Deacons are married.
Some priests who converted to Catholicism from Anglican and Lutheran and other churches are married and they were grandfathered in. I believe we have several in my own diocese.
However, should the priest’s current wife die, they may not remarry.
“However, should the priests current wife die, they may not remarry”.
Deacons also can’t remarry.
Neither may a deacon remarry—although dispensations are given when there are young children who would benefit from having a step-mother.
Incidentally, Dr. Edward Peters has written a number of times about a problem that no one seems to want to deal with: the promise of “celibacy”—which married deacons make at their ordination—actually requires perfect CONTINENCE. Since the restoration of the permanent diaconate under Paul VI, this fact has been dealt with by ignoring it.