God has told us plainly that man is the head of the woman 1Co 11:3 But I would have you know, that the head of every man is Christ; and the head of the woman is the man; and the head of Christ is God. and as such carries the responsibility of the sin and the consequences of it.1Co 15:22 For as in Adam all die, even so in Christ shall all be made alive. And, 1Co 15:45 And so it is written, The first man Adam was made a living soul; the last Adam was made a quickening spirit. Headship in any area is responsible for the actions of those beneath it. The first Adam failed in this glory that was his, and so by that failure sin entered into the world and death by sin.
The glory of the second Adam, Christ, is that He, the head of the Church, the bride of Christ, Eve may be viewed as the bride of the first Adam, did not fail and was faithful thus by this faithfulness saved his wife and redeemed her from her sin as Christ does to all those that are the Lambs wife, and death and sin are swallowed up in Christ’s victory over them both and has brought to light ,life and immortality.2Ti 1:10 But is now made manifest by the appearing of our Saviour Jesus Christ, who hath abolished death, and hath brought life and immortality to light through the gospel: