Its ok for the Byzantine Rite Catholic Priests to be married. Back in the day, the Romans insisted Byzantine Catholics dont marry as a condition for being allowed to create their own BC parishes...or so I was told.
John Paul II gave the green light for BC priests to get married as a directive to return to the way things were done in the BC in the old country. You will also see infants getting communion now in the BC as well.
It was always usual in their original territories for Byzantine Catholics to ordain married men.
As I said, it was political.