I've had games where that never goes away. I had a game where I wanted to RP my family to be defenders of the papacy and good Catholics. I defeated the HRE to remove their anti-pope. I had almost united Sicily and Italy to form the Empire of Italy as the de Hautevilles, I married Matilda and helped her and her allies win independence from the HRE.
A few generations later, maybe 150 years or so, the Pope granted invasion rights to someone for the Kingdom of Italy. I just barely defeated them and decided to make my own pope, vassalize the papacy and rule them once I created the Empire of Italia. It gave me the same message, so I had to satify myself with vassalizing him and making Rome my capital.