It is recommended to get married and arrange marriages in Shawwal, and it is recommended to consummate the marriage in that month

Sahih Muslim · Book 16 · Hadith 1423 a

حَدَّثَنَا أَبُو بَكْرِ بْنُ أَبِي شَيْبَةَ، وَزُهَيْرُ بْنُ حَرْبٍ، - وَاللَّفْظُ لِزُهَيْرٍ - قَالاَ حَدَّثَنَا وَكِيعٌ، حَدَّثَنَا سُفْيَانُ، عَنْ إِسْمَاعِيلَ بْنِ أُمَيَّةَ، عَنْ عَبْدِ اللَّهِ بْنِ عُرْوَةَ، عَنْ عُرْوَةَ، عَنْ عَائِشَةَ، قَالَتْ تَزَوَّجَنِي رَسُولُ اللَّهِ صلى الله عليه وسلم فِي شَوَّالٍ وَبَنَى بِي فِي شَوَّالٍ فَأَىُّ نِسَاءِ رَسُو…

'A'isha (Allah be pleased with her) reported: Allah's Messenger (ﷺ) contracted marriage with me in Shawwal and took me to his house as a bride during Shawwal. And who among the wives of Allah's Messenger (ﷺ) was dearer t…

Sahih Muslim · Book 16 · Hadith 1423 b

وَحَدَّثَنَاهُ ابْنُ نُمَيْرٍ، حَدَّثَنَا أَبِي، حَدَّثَنَا سُفْيَانُ، بِهَذَا الإِسْنَادِ وَلَمْ يَذْكُرْ فِعْلَ عَائِشَةَ‏.‏

This hadith has been narrated on the authority of Sufyan with the same chain of transmitters, but he made no mention of the act of 'A'isha (being admitted as a wife in the house of the Holy Prophet).