Kiss (Don't Shake) the Priest’s Hand ( Church Etiquette )
The traditional way to greet a bishop or priest is to ask his blessing and kiss his right hand. How do you do this? Approach the bishop or priest with your right hand over your left and say “Father (“Master,” in the case of a bishop), bless.” When the faithful receive such a blessing it is understood that Christ Himself offers the blessing through the hand of the priest or bishop. That being said, it is not "offensive" to reach out to shake their hand, thus not "expected" nor assumed from those who are not of the tradition of the Church.