pilgrim,

Any Christian women can get on her soap box and preach Christ in a public park. She may also sing appropriate hymns if she cares to.

What she can not do is preach, teach, or sing in the church. Neither can a man unless he has been called by God to be an overseer or steward of the mysteries. 1 Cor. 4:1; Acts 20:28.

I have proven that hymn singing is teaching. Col. 3:16. You seem to distinguish between authoritative teaching and other forms of teaching. Where in scripture does it say that women can teach the overseer in the church?