Actually the Bible is quite radical in this area. It stands apart from many of the prejudices and abuses of women in the times it was written. During the first century in particular women were not considered worth teaching about God and were very much second class citizens spiritually. Yet Jesus sat with and taught women, putting them on an equal footing. And the church followed suit.
Having said this, just as the Bible stood apart from the gender assumptions of its day, so it stands apart from those of our own. As in all matters, Christians seek to conform their opinions to what they are convinced God has revealed in this book. And this area is no exception.(John 4:1-27, Galatians 3:28)