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in the same chapter where paul says women don't teach a man, he also says do not do something to cause another to stumble. Maybe that is part of the dynamic that God had in mind in saying don't teach men. they- or some of them- cannot receive or accept truth coming from a woman. Maybe the office of chaplain, as in a hospital, is different. When a man, no matter how manly or proud, has been knocked down by adversity, maybe he can accept as mercy and help words of truth and comfort coming from a woman.
also, it is so easy for people, men or women, to slip into the attitude that what is more public is more important, and that teaching adults is more important than teaching children. Maybe that is why God told women to stay out of the pulpit, so that someone (ok , it's us women) would be on the job with the children and in the one to one situations, and of course living God's mercy.