1 Corinthians 11:4-9
Where in Scripture does it talk about women wearing veils to Mass?
“Any man who prays or prophesies with his head covered brings shame upon his head. But any woman who prays or prophesies with her head unveiled brings shame upon her head… A man, on the other hand, should not cover his head, because he is the image and glory of God, but woman is the glory of man. For man did not come from woman, but woman from man; nor was man created for woman, but woman for man…” -1 Corinthians 11:4-9, NAB
Recently, I have personally noticed a return of women who wear “chapel veils” to Mass. At one time, from my understanding, this was the normal practice. At some point, the practice began to fade out, and for a long time, few, if any, women wore veils. But, there is a resurgence in the use of veils, and I can see the value in it.
As a man, when I enter the church, I always remove my hat. When I say a prayer, I do the same. Now, I do this simply because I was taught that it was a sign of reverence. In the same way, women who choose to wear a veil are also showing that same reverence. While it may not be mandatory, few things in life are mandatory because of the free will that God gives us, and I choose to use my free will to show Him the reverence and respect He deserves.
There are many sources online that go more into depth on the subject than I will here, but I believe that it is a matter of prayer. If a woman chooses not to wear a veil, the Church seems to have no problem with this, and neither should we. But for those who choose to wear veils, I can respect their choice to honor our Father in this way.