Adam Clarke on 1 Corinthians 11:3

The head of every man is Christ - The apostle is speaking particularly of Christianity and its ordinances: Christ is the Head or Author of this religion; and is the creator, preserver, and Lord of every man. The man also is the lord or head of the woman; and the Head or Lord of Christ, as Mediator between God and man, is God the Father. Here is the order - God sends his Son Jesus Christ to redeem man; Christ comes and lays down his life for the world; every man who receives Christianity confesses that Jesus Christ is Lord, to the glory of God the Father; and every believing woman will acknowledge, according to Gen 3:16, that God has placed her in a dependence on and subjection to the man. So far there is no difficulty in this passage.