In the name of God, most Gracious, most Merciful:
And tell the believing women to lower their gaze and be modest, and to display of their adornment only that which is apparent, and to draw their veils over their bosoms, and not to reveal their adornment save to their own husbands or fathers or husbands' fathers, or their sons or their husbands' sons, or their brothers or their brothers' sons or sisters' sons, or their women, or their slaves, or male attendants who lack vigour, or children who know naught of women's nakedness. And let them not stamp their feet so as to reveal what they hide of their adornment. And turn unto Allah together, O believers, in order that ye may succeed. (Holy Quran 24:31)
A Muslim woman who covers herself is making a statement about her identity. Anyone who sees her will know that she is a Muslim and has a good moral character. Many Muslim women who cover are filled with dignity and self esteem; they are pleased to be identified as a Muslim woman. As a chaste, modest, pure woman, she does not want her sexuality to enter into interactions with men in the smallest degree. A woman who covers herself is concealing her sexuality but allowing her femininity to be brought out.