That is the very nature of the church, she submits to Christ. Without that submission she is no longer the church. It is through that very submission to Christ that we become washed, sanctified and cleansed. It is through submission that we become a member of Christ body. To deny that submission would be to deny that we are a part of Christ's body.
Submission applies to men as well as women.
For a woman to deny submission to her husband would be to deny the very nature of the marriage relationship. For a man to refuse to submit himself to the needs of his wife would be paramount to Christ denying submission to his church or the church denying submission to Christ. It would be like Christ denying his oneness with the church. The woman is to submit to the husband just as the husband is to submit to Christ. Yet, in this relationship where Christ is totally submitted to our needs, we are led full circle to being in subjection to one another through Christ.