You should be.
The Italians call him "Il Papa." He is our spiritual father. Does a child have the right to disrespect his natural father? Does the 4th Commandment say, "Honor your mother and father unless they offend you, sin against you, or make mistakes that hurt you?"
We have an obligation to pray for the pope just as we have an obligation to pray for our natural fathers, especially as they approach death.
That thought struck me today as I read about Pope St. Gregory the Great who's feast is today in the traditional calendar. I read this in Butler's Lives of the Saints: