Does Paul ever say Christ is the King of the church?
No. Paul never teaches that Christ is the King of the church. While Christ is King of kings, Lord of lords, and God of creation, to the church He is not King but the head of the body. Believers are members of Him, not subjects, and Paul consistently presents His headship, not kingship over the church.
Les explains that it is not scripturally correct to refer to Christ as our King. He affirms that Christ is King of kings, Lord of lords, and the God of creation, but says that to the church He is not the King; He is the head of the body. Les contrasts kingship with headship: if Christ were the church's King, believers would be subjects who must kowtow to His every command, but Paul never gives that illusion. Instead, believers are part of Him, just as a wife is part of her husband. A wife submits to her husband's headship, not as to a king. Les invites anyone to show where Paul teaches that Christ is the King of the church, because he cannot find it. The constant reference is to Christ as the head of the body—connected to His members as the physical head is to the body and the husband to the wife.