A couple Bible verses always come to mind when authority is brought up.
Judges 21:25 “In those days there was no king in Israel; everyone did what he thought best.” Anyone who knows the story of the book of judges knows that God frequently had to send a figure of authority in order to guide the Israelites. In the times in which they had no authority, they fell into idolatry, sloth, and sin (one might even say the gates of hell prevailed

). Why not keep a permanent figure of authority in the form of the Church to guide us in Christ’s absence.
Matthew 7:24-27 “Everyone who listens to these words of mine and acts on them will be like a wise man who built his house on rock. The rain fell, the floods came, and the winds blew and buffeted the house. But it did not collapse; it had been set solidly on rock. And everyone who listens to these words of mine but does not act on them will be like a fool who built his house on sand. The rain fell, the floods came, and the winds blew and buffeted the house. And it collapsed and was completely ruined.” Like the wise man, Christ built his church on the rock. Not much more analysis needed on this one.
Finally, Romans 13:1-5 “Let every person be subordinate to higher authorities, for there is no authority except from God, and those that exist have been established by God. Therefore; whoever resists authority opposes what God has appointed, and those who oppose it will bring judgment upon themselves. For rulers are not a cause of fear to good conduct, but to evil. Do you wish to have no fear of authority? Then do what is good and you will receive approval from it, for it is a servant of God for your good. But if you do evil, be afraid, for it does not bear the sword without purpose; it is the servant of God to inflict wrath on the evildoer. Therefore, it is necessary to be subject not only because of the wrath but also because of conscience.” This passage is speaking of secular governments, but how much more pertinent and powerful its words must become if Christ did indeed establish for himself an inspired Church.