A woman can present herself to a righteous man (for marriage)

Sahih al-Bukhari · Book 67 · Hadith 5120

حَدَّثَنَا عَلِيُّ بْنُ عَبْدِ اللَّهِ، حَدَّثَنَا مَرْحُومٌ، قَالَ سَمِعْتُ ثَابِتًا الْبُنَانِيَّ، قَالَ كُنْتُ عِنْدَ أَنَسٍ وَعِنْدَهُ ابْنَةٌ لَهُ، قَالَ أَنَسٌ جَاءَتِ امْرَأَةٌ إِلَى رَسُولِ اللَّهِ صلى الله عليه وسلم تَعْرِضُ عَلَيْهِ نَفْسَهَا قَالَتْ يَا رَسُولَ اللَّهِ أَلَكَ بِي حَاجَةٌ، فَقَالَتْ بِنْتُ أَنَسٍ مَا أَقَلَّ حَيَاءَهَا وَاسَوْأَتَا…

Narrated Thabit Al-Banani: I was with Anas while his daughter was present with him. Anas said, "A woman came to Allah's Apostle and presented herself to him, saying, 'O Allah's Messenger, have you any need for me (i.e.…

Sahih al-Bukhari · Book 67 · Hadith 5121

حَدَّثَنَا سَعِيدُ بْنُ أَبِي مَرْيَمَ، حَدَّثَنَا أَبُو غَسَّانَ، قَالَ حَدَّثَنِي أَبُو حَازِمٍ، عَنْ سَهْلٍ، أَنَّ امْرَأَةً، عَرَضَتْ نَفْسَهَا عَلَى النَّبِيِّ صلى الله عليه وسلم فَقَالَ لَهُ رَجُلٌ يَا رَسُولَ اللَّهِ زَوِّجْنِيهَا‏.‏ فَقَالَ ‏"‏ مَا عِنْدَكَ ‏"‏‏.‏ قَالَ مَا عِنْدِي شَىْءٌ‏.‏ قَالَ ‏"‏ اذْهَبْ فَالْتَمِسْ وَلَوْ خَاتَمًا مِنْ حَدِيدٍ …

Narrated Sahl bin Sa`d: A woman presented herself to the Prophet (for marriage). A man said to him, "O Allah's Messenger! (If you are not in need of her) marry her to me." The Prophet (ﷺ) said, "What have you got?" The…