Depends on how important you view its origin to be. As far as I understand it, the practice is of Babylonian origin, and was very much a mark of ownership by the husband over however many wives he could afford to have. Now, the practice lived on after the Babylonians and, just like female circumcision, it was picked up by Islam from the various tribal customs in the various regions where Islam ruled (female circumcision was actually picked up from Africa when Islam spread there, but the idea is the same), and adopted because it lined up well with Islamic conceptions of modesty.
Now, you will often hear that the women wear them of their own free will, but after being told that they will be raped if an unrelated man so much as glances at their hair, and in some places being under direct threat by the Virtue Police (who may legally beat, imprison AND rape them), I feel safe in the view that this claim carries a few coercive caveats.
Also, I've heard the full on Burqha being defended by an Imam by describing how women have invisible sex beams that they shoot from their eyes at unsuspecting men, who cannot help themselves but to rape the woman in question. With beliefs like this, would you take the risk?
Ayaan Hirsi Ali described her initial reaction to removing her veil for the first time in a western society as surprise that no one instantly tried to rape her.
You often see girls as young as 7 or 8 wear the veils, again supposedly out of their free will. I've no doubt they want to wear it, for the same reason clothes stores sell those creepy g-string bikinis for little kids; it's what the adult women wear. While one is certainly more modest than the other, I personally don't feel that anyone should worry about protecting the modesty of an 8 year old girl; there isn't really anything to see, and the mystification of female bodies have no doubt contributed to the creepy practice of child brides.
Not too long ago, there was a debacle with feminists opting to wear the veil in some sort of sympathy campaign against a ban on religious symbols in public. I think this was in France. Many muslim women will say they wear the veil independent of their faith, and that the Quran actually doesn't mandate it, yet will still claim religious persecution in the face of such a ban. While I don't really support that ban, I look with some scepsis on women who claim to, out of their own free will, wear a garment with that much coercion tied to it.
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I'm bored out of my skull, let's play a different game. Let's pay a visit down below and cast the world in flame.