In the Vulgate it appears to mean covering the head not covering( veiling) the face.
11 5 But every woman praying or prophesying with her head not covered disgraceth her head: for it is all one as if she were shaven. omnis autem mulier orans aut prophetans non velato capite deturpat caput suum unum est enim atque si decalvetur
11 6 For if a woman be not covered, let her be shorn. But if it be a shame to a woman to be shorn or made bald, let her cover her head. nam si non velatur mulier et tondeatur si vero turpe est mulieri tonderi aut decalvari velet caput suum
11 7 The man indeed ought not to cover his head: because he is the image and glory of God. But the woman is the glory of the man. vir quidem non debet velare caput quoniam imago et gloria est Dei mulier autem gloria viri est
11 8 For the man is not of the woman: but the woman of the man. non enim vir ex muliere est sed mulier ex viro
11 9 For the man was not created for the woman: but the woman for the man. etenim non est creatus vir propter mulierem sed mulier propter virum
11 10 Therefore ought the woman to have a power over her head, because of the angels. ideo debet mulier potestatem habere supra caput propter angelos
11 11 But yet neither is the man without the woman, nor the woman without the man, in the Lord. verumtamen neque vir sine muliere neque mulier sine viro in Domino
11 12 For as the woman is of the man, so also is the man by the woman: but all things of God. nam sicut mulier de viro ita et vir per mulierem omnia autem ex Deo
11 13 You yourselves judge. Doth it become a woman to pray unto God uncovered? vos ipsi iudicate decet mulierem non velatam orare Deum
11 14 Doth not even nature itself teach you that a man indeed, if he nourish his hair, it is a shame unto him? nec ipsa natura docet vos quod vir quidem si comam nutriat ignominia est illi
11 15 But if a woman nourish her hair, it is a glory to her; for her hair is given to her for a covering. mulier vero si comam nutriat gloria est illi quoniam capilli pro velamine ei dati sunt
latinvulgate.com/verse.aspx?t=1&b=7&c=11