If A Woman Will Not Veil Herself, Then She Should Cut Off Her Hair?

Bible References:
Luke7:36-50
One of the Pharisees asked him to eat with him, and he went into the Pharisee’s house, and took his place at table. And behold, a woman of the city, who was a sinner, when she learned that he was at table in the Pharisee’s house, brought an alabaster flask of ointment, and standing behind him at his feet, weeping, she began to wet his feet with her tears, and wiped them with the hair of her head, and kissed his feet, and anointed them with the ointment. Now when the Pharisee who had invited him saw it, he said to himself, “If this man were a prophet, he would have known who and what sort of woman this is who is touching him, for she is a sinner.” And Jesus answering said to him, “Simon, I have something to say to you.” And he answered, “What is it, Teacher?” “A certain creditor had two debtors; one owed five hundred denarii, and the other fifty. When they could not pay, he forgave them both. Now which of them will love him more?” Simon answered, “The one, I suppose, to whom he forgave more.” And he said to him, “You have judged rightly.” Then turning toward the woman he said to Simon, “Do you see this woman? I entered your house, you gave me no water for my feet, but she has wet my feet with her tears and wiped them with her hair. You gave me no kiss, but from the time I came in she has not ceased to kiss my feet. You did not anoint my head with oil, but she has anointed my feet with ointment. Therefore I tell you, her sins, which are many, are forgiven, for she loved much; but he who is forgiven little, loves little.” And he said to her, “Your sins are forgiven.” Then those who were at table with him began to say among themselves, “Who is this, who even forgives sins?” And he said to the woman, “Your faith has saved you; go in peace.”
1 Corinthians 11:2-16
I commend you because you remember me in everything and maintain the traditions even as I have delivered them to you. But I want you to understand that the head of every man is Christ, the head of a woman is her husband, and the head of Christ is God. Any man who prays or prophesies with his head covered dishonors his head, but any woman who prays or prophesies with her head unveiled dishonors her head—it is the same as if her head were shaven. For if a woman will not veil herself, then she should cut off her hair; but if it is disgraceful for a woman to be shorn or shaven, let her wear a veil. For a man ought not to cover his head, since he is the image and glory of God; but woman is the glory of man. (For man was not made from woman, but woman from man. Neither was man created for woman, but woman for man.) That is why a woman ought to have a veil on her head, because of the angels. (Nevertheless, in the Lord woman is not independent of man nor man of woman; for as woman was made from man, so man is now born of woman. And all things are from God.) Judge for yourselves; is it proper for a woman to pray to God with her head uncovered? Does not nature itself teach you that for a man to wear long hair is degrading to him, but if a woman has long hair, it is her pride? For her hair is given to her for a covering. If any one is disposed to be contentious, we recognize no other practice, nor do the churches of God.