We're all to spread the gospel whether men or women. Lots of service for God are open to both men and women.
The positions of authority within the church are for men though, not women. But women aren't any less because of that - they just have different function.
But Satan works hard to make women feel as if they're less to try to destroy the hierarchy God had set. But if you look at the Trinity of God the Father, the Son and the Holy Spirit, God the Father is the highest authority. You don't ever see Jesus or the Holy Spirit try to usurp the Father's position. Also, all the 2/3 of angels that remained with God remain in their position in the heirarchy as well.
Jesus, the Holy Spirit and the angels that remained - none of them have any problems with their position and not being the #1 in authority. Only women seem to have that problem with Satan making them feel inferior.
I personally don't have that problem. I'm pretty independent, but I can do the work I'm called to without feeling inferior about my place in the heirarchy.