With regard to the idea of a Muslim woman offering herself in marriage to a righteous man, that does not contradict the idea of modesty, so long as he is trustworthy with regard to his religious commitment and moral attitude. It was narrated that Thaabit al Banaani said: “I was with Anas ibn Maalik and a daughter of his was with him. He said: ‘A woman came to the Messenger of Allah (pbuh) and offered herself in marriage to him. She said: ‘O Messenger of Allah, do you want to marry me?’ The daughter of Anas said: ‘How little was her modesty. How shameless, how shameless!’ Anas said: ‘She was better than you; she had a liking for the Prophet (pbuh) so she offered herself in marriage to him.'” (al-Bukhaari 4828)
Imam al-Bukhaari included this Hadeeth in a chapter which he entitled: “A woman offering herself in marriage to a righteous man.”
Al-Hafiz ibn Hajar said: “Ibn al-Munayyir said in al-Haashiyah: ‘One of the subtle points of al-Bukhaari’s knowledge is that he from the specific story of the woman who offered herself in marriage to the Prophet (pbuh) he derived a general principle; he understood that it is permissible for any woman to offer herself in marriage to a righteous man whose righteousness she admires, and if he likes her he may marry her subject to the conditions of marriage being fulfilled.'”
These two Ahaadeeth – the Hadeeth of Sahl and the Hadeeth of Anas, both of which mention the woman who offered herself in marriage to the Prophet (pbuh) indicate that it is permissible for a woman to offer herself in marriage to a man, and to let him know that she has a liking for him, and there is nothing wrong with her doing so. And the one to whom a woman offers herself in marriage has the choice of either accepting or refusing, but he does not have to express his refusal outright, rather it is sufficient for him to remain silent. (Fath al-Baari, 9/175)
Al-‘Ayni said: “The words of Anas to his daughter: ‘She is better than you’ indicate that it is permissible for a woman to offer herself in marriage to a righteous man, and to tell him of her liking for him because of his righteousness and virtue, or because of his knowledge and honor, or for some characteristic of religious commitment, and that there is no shame on her if she does that, rather that is a sign of her virtue. The daughter of Anas (RA) looked at the externals and she did not understand this properly until Anas said: ‘She is better than you.’ As for the woman who offers herself in marriage to a man for some worldly purpose, this is something that is disgusting in the extreme.” (Umdat al-Qaari’ Sharh Saheeh al-Bukhaari, 20/1130)
But it is better for a woman to inform her wali (guardian) of her desire to marry a righteous man who is trustworthy with regard to his religious commitment and his moral attitude, without telling the man bluntly. This may be understood from what one of the two women did, when she said to her father – concerning Moosa (peace be upon him): “And said one of them (the two women)
: ‘O my father! Hire him! Verily, the best of men for you to hire is the strong, the trustworthy’”
al-Qurtubi said: “With regard to the words of Allah: He said: ‘I intend to wed one of these two daughters of mine to you, on condition that you serve me for eight years…'”
Here the father offered his daughter in marriage to the man. This is an established custom whereby the righteous man of Madyan offered his daughter in marriage to a righteous man of the Children of Israel, ‘Umar ibn al-Khattaab offered his daughter Hafsah in marriage to Abu Bakr and Uthmaan, and the woman who offered herself in marriage offered herself to the Prophet (pbuh). So it is good for a man to offer his female relative who is under his care in marriage, and for a woman to offer herself in marriage to a righteous man, following the example of the righteous salaf. Ibn Umar said: “When Hafsah became single (due to her husband’s death), Umar said to Uthmaan: ‘If you wish, I will marry Hafsah Bint Umar to you.'” (al-Bukhaari, 4005, Tafseer al-Qurtubi, 13/271)
But it should be noted that most of what happens nowadays, when a woman likes a particular man, is the result of Haraam causes, such as a careless attitude on her part whereby she talks to him and sits with him. A person who has evil motives may take advantage of such an offer to achieve some of his aims. So we must beware of this and protect our honor from anything that may defame it.
Trully, parents has to be in the fore front looking for men suitable for their daughters.Parents can talk to exchange their children for marriege.However, the daughters have to develop love for the man.This can be through the parents convincing her or looking at man for love on her own.The proposal can be via somebody therefore there is no problem for women proposing men.