"In the case of our Lord we should see that His submission and humiliation was God’s way of blessing and bringing glory to Himself (Phil. 2:8-11). We should also understand that the submission of the Son to the Father did not in any way imply inferiority on the part of the Son to the Father. Both the Son and the Father are equally God. The Son is no less God because He submitted Himself to the will of the Father and sought to glorify Him. The submission of the Son to the Father was a functional submission, necessary for the unified activity of the Godhead."
from: "The New Testament Church—The Role of Women Study" By: Bob Deffinbaugh"Such is the case with the woman’s submission to the husband. It does not imply in any way inferiority on the part of the woman to the man. The wife’s submission to her husband is her indication of her submission to God (Eph. 5:22). As the Son veiled His glory in the incarnation, so the wife is to veil her glory (1 Cor. 11:2-16) in order to bring glory to her husband. The woman is not to take positions of leadership in the church because God has chosen men to reflect leadership over the church, and since the church is the bride of Christ of which Christ is the Head, so the man is to exercise headship over his bride, his wife."