Headscarf and Veiling in the Quran
(24:31) And tell the believing females to lower their gaze and keep covered their private parts, and that they should not reveal their beauty except what is apparent, and let them put forth their covers (khumur / خُمُرْ) over their cleavage (juyoob / جُيُوبِ). And let them not reveal their beauty except to their husbands, or their fathers, or fathers of their husbands, or their sons, or the sons of their husbands, or their brothers, or the sons of their brothers, or the sons of their sisters, or their women, or those maintained by their oaths, or the male servants who are without need, or the child who has not yet understood the composition of women. And let them not strike with their feet in a manner that reveals what they are keeping hidden of their beauty. And repent to God, all of you believers, that you may succeed.
The Arabic word 'khumur' (plural of 'khimar') simply means ‘cover’. It has a wide range of meanings. It may be any cover such as the table napkin. If it is used to cover the head, it will signify the headscarf. However, if the head had been the target, the expression would have been 'khumur-ur-ras' meaning the covering of the head. In the context, one should understand the verse is telling women to cover their cleavage/bosom. Therefore it is the low-necked attire that is meant here. There are many reasons for this:
(1) The logical understanding on the nature in which God created the human head (ears need unobstructed passage for optimal performance, and hair on head is part of "natural" human pleasantness that we cannot do without.
(2) The Arabic root for the word, shares meanings with more general "covering" or "concealment" and not just headscarf.
(3) The immediate context within the verse, which is ordering the covering of the cleavage only (عَلَى جُيُوبِهِنّ), with no mention of hair (indicating the ordainment is not in the type of apparatus used, but in the covering of low neck-line). Even if it means 'headscarves' worn at the time, the command is not in the type of clothing used to cover the cleavage (headscarf), but to cover the cleavage. The usage of the word is determined by the readily available method at that instance, variable by other means in other parts of the world, or by any means such as a higher neck dress.
(4) It can be observed that men tend to cover all their chest and women reduce their neck-line in society in order to show-off feminine grace. Therefore, in order to tackle the common habit, a commandment to cover the cleavage area is a strong logical reason for the verse than the hair.
Therefore, it makes perfect sense to conclude that the intention of "وَلْيَضْرِبْنَ بِخُمُرِهِنَّ عَلَى جُيُوبِهِن َّ / and let them put forth their covers over their cleavage" is to order believing women to ensure the cleavage area is covered and not the hair.
Another important expression mentioned in the verse is the word ‘juyoob’, which means cleavage. This, we believe, is in harmony with the rest of the sentence in which the covering of the low neck is imperative. Moreover, striking of the feet comes next, which might attract attention to the breasts that would be wiggling as a consequence of the striking movement, considering the brassiere did not exist at that time. Then the verse makes an exception for those ornaments that are self-conspicuous. Big breasts cannot be hidden no matter what one does, as a result of physical movements of the body, or may become even more conspicuous when the dress under the effect of a strong wind sticks to the body. So the verse explains this as a natural phenomenon. We read in other verses that women nursed their children sometimes for two years. When her baby cries she may be obliged to nurse it in the presence of her next of kin like her father. This commentary provides us with the necessary elbowroom under the circumstances. One other point that corroborates our argument is the fact that this word makes no allusion to the hanging objects that adorn a woman since the verse also mentions that they can let their ornaments be seen in the presence of women. Dangling ornaments may, of course, be used to show off rather than be an object for seduction. The striking of the feet would not render conspicuous the finery or the jewelry of the woman. Moreover, there is the fact that adornments may be used everywhere. Even during prayer they may be used, so they don’t have to be hidden (7:31). From all of these it follows that the word ornament is used to refer to the breasts of the woman.
"Children of Adam, take your adornment / pleasantness to every Mosque." (Qur'an 7:31)
"Do not say falsely, 'this is lawful (halal) and that is prohibited (haram)', inventing a lie about God. Those who invent lies about God do not prosper." (Qur'an 16:116)
The Qur'an reveals that women have been blessed with great beauty, and asks believing women to honour this gift by dressing in a dignified and conscientious manner.
People with ill intentions, who seek to find justifications for their personal cultures and agendas will go to any lengths to find a Quranic verse they can use to promote their prejudiced views. It is necessary for a true believer to remain sincere and objective, and use an unbiased approach to God's verses to dispel the myths. The above sorts of people depict a twisted view of religion and devotion to God, keeping people away from reading the Qur'an directly, thinking over it, and surrendering to God the true Quranic way.
Therefore to conclude, there is no requirement to cover the hair in the Qur'an for women. There is also no requirement for the face veil. The human head has eyes, mouth, nose and ears, all of which are designed to be left unobstructed at all times - i.e. the head is intended by God to be left uncovered, and the Qur'an remains in harmony with this.