1 Corinthians 14 (NIV)
As in all the congregations of the saints, 34women should remain silent in the churches. They are not allowed to speak, but must be in submission, as the Law says. 35If they want to inquire about something, they should ask their own husbands at home; for it is disgraceful for a woman to speak in the church.
36Did the word of God originate with you? Or are you the only people it has reached? 37If anybody thinks he is a prophet or spiritually gifted, let him acknowledge that what I am writing to you is the Lord's command. 38If he ignores this, he himself will be ignored.[i]
39Therefore, my brothers, be eager to prophesy, and do not forbid speaking in tongues. 40But everything should be done in a fitting and orderly way.
The bolded to speak means in authority. Those fluent in Greek can check this. In verse 37 Paul indicates the authority under which he makes this statement.
And yet God called Deborah in the Old Testament to lead Israel when no man could be found to lead.