Yes. They have been exempted from the law obliging all Priests of the Latin Rite. The Church has tolerated the ancient custom of marriage in those Eastern Churches which have sought re-union with her, allowing married men to be ordained amongst them, though marriage subsequent to ordination is forbidden. But in the Western Latin Church the full law must be observed.
Radio Replies Volume 1 by Rev. Dr. Leslie Rumble MSC and Rev. Charles Mortimer Carty
