The Greek word most often translated “submit” in the New Testament is the word hupotasso. Hupotasso is better translated “subjection.” In its New Testament usage, subjection is a voluntary attitude of giving into, cooperating with, and yielding to the admonition or advice of another.
Biblical subjection has nothing to do with control or hierarchical power. It’s simply an attitude of childlike openness in yielding to others.
Submit to one another out of reverence for Christ. (Ephesians 5:21 NIV)
Again, the Bible never teaches “protective covering.” Instead, it teaches mutual subjection. Mutual subjection rests upon the New Testament notion that all believers are gifted. As such, they can all express Jesus Christ. Therefore, we are to be in subjection to one another in Christ. -Frank Viola
Read More on this subject in the Article section Church Paradigm titled "Who is Your Covering?"