Hadith no. 319 and 320 are repeats. Read here.
Hafsa said, ‘We used to forbid our young women to go out for the two ‘Id prayers. A woman came and stayed at the palace of Bani Khalaf and she narrated about her sister whose husband took part in twelve holy battles along with the Prophet and her sister was with her husband in six (out of these twelve). She (the woman’s sister) said, “We used to treat the wounded, look after the patients and once I asked the Prophet, ‘Is there any harm for any of us to stay at home if she doesn’t have a veil?’ He said, ‘She should cover herself with the veil of her companion and should participate in the good deeds and in the religious gathering of the Muslims.’ When Um ‘Atiya came I asked her whether she had heard it from the Prophet. She replied, “Yes. May my father be sacrificed for him (the Prophet)! (Whenever she mentioned the Prophet she used to say, ‘May my father be sacrificed for him) I have heard the Prophet saying, ‘The unmarried young virgins and the mature girl who stay often screened or the young unmarried virgins who often stay screened and the menstruating women should come out and participate in the good deeds as well as the religious gathering of the faithful believers but the menstruating women should keep away from the Musalla (praying place).’ ” Hafsa asked Um ‘Atiya surprisingly, “Do you say the menstruating women?” She replied, “Doesn’t a menstruating woman attend ‘Arafat (Hajj) and such and such (other deeds)?”
Basic implication is: menstruating women should participate in religious gatherings. ‘Id prayers are an example. In our culture, women don’t attend the ‘Id prayers at all, let alone the menstruating ones. However, Prophet (SAW) greatly emphasized on Muslim men and women gathering together to offer the ‘Id prayers. And even the menstruating women should attend.
It’s a great way to socialize and bring the Ummah together. Feels great to worship Allah in congregation!
‘Id-ul-Fitr is up next. Make plans to attend the prayers at your nearby mosque/’Id-gah etc. :)