[E]very woman who prays or prophesies with her head uncovered dishonors her head, for that is one and the same as if her head were shaved. For if a woman is not covered, let her also be shorn. But if it is shameful for a woman to be shorn or shaved, let her be covered....For this reason the woman ought to have a symbol of authority on her head, because of the angels. ...Judge among yourselves. Is it proper for a woman to pray to God with her head uncovered? I Cor. 11: 5-13
After reading this text as a Seventh-day Adventists I began putting a covering on my head at home, a veil or something, while having my morning devotions and would wear a hat to church.
I continue covering my head today in mass as a Catholic as well as in my home at prayer. My husband loves all the different veils and mantillas I wear. He is getting to be more determined I wear it than I am.
Though it is no longer a canon law for Catholic women to wear a head covering in church, I personally think they are reverent and after all... if it is for the angels? I gladly do it for them.
To be frank, I find it not only reverent but also very elegant and feminine. I think if women began reaching back and gleaning the gems of our Catholic history and recapturing some of the beauty of Catholic traditions, we'd find mass more sacred. We might experience a new level of holiness. It worked for me.