Papally is an adjective related to the pope or the papacy. However, there are several synonyms that can be used to convey the same meaning. For instance, the word pontifical can be used to describe something that is related to the pope or church hierarchy. Similarly, words like papal, episcopal, and ecclesiastic can also be used to indicate a connection to the pope or the church. The term vicarial is often used in the Catholic tradition to denote the authority of a bishop, while apostolic refers to the authority of the pope. Additionally, words like clerical, canonical, and hierarchal can be used to describe the organizational structure of the church.