Well, if it makes things any clearer, I only wear the head covering during church meetings, not all the time. The idea is that when believers in Christ gather together, a woman should voluntarily and of her own free will cover her own glory (i.e. her hair) in order to symbolize her willing obedience to God's authority in the church, and so that the focus may be on His glory instead.

It's interesting to me that to this day the idea persists that men should uncover their heads in church as a sign of respect, but the idea of women covering their heads for the same reason has fallen out of disfavor. I suspect this is because the head covering for women has been mistaken for a sign of oppressiveness, an attempt to hide women from view and treat them as second-class citizens in the church, but that's not what it means at all.