Narrated `Aisha
I was menstruating when I reached Mecca. So, I neither performed Tawaf of the Ka`ba, nor the Tawaf between Safa and Marwa. Then I informed Allah's Messenger (ﷺ) about it. He replied, "Perform all the ceremonies of Hajj like the other pilgrims, but do not perform Tawaf of the Ka`ba till you get clean (from your menses)."
Narrated Jabir bin `Abdullah
The Prophet (ﷺ) and his companions assumed Ihram for Hajj and none except the Prophet (p.b.u.h) and Talha had the Hadi (sacrifice) with them. `Ali arrived from Yemen and had a Hadi with him. `Ali said, "I have assumed Ihram for what the Prophet (ﷺ) has done." The Prophet (ﷺ) ordered his companions to perform the `Umra with the lhram which they had assumed, and after finishing Tawaf (of Ka`ba, Safa and Marwa) to cut short their hair, and to finish their lhram except those who had Hadi with them. They (the people) said, "How can we proceed to Mina (for Hajj) after having sexual relations with our wives?" When that news reached the Prophet (ﷺ) he said, "If I had formerly known what I came to know lately, I would not have brought the Hadi with me. Had there been no Hadi with me, I would have finished the state of lhram." `Aisha got her menses, so she performed all the ceremonies of Hajj except Tawaf of the Ka`ba, and when she got clean (from her menses), she performed Tawaf of the Ka`ba. She said, "O Allah's Messenger (ﷺ)! (All of you) are returning with the Hajj and `Umra, but I am returning after performing Hajj only." So the Prophet (ﷺ) ordered `Abdur-Rahman bin Abu Bakr to accompany her to Tan`im and thus she performed the `Umra after the Hajj.
Narrated Hafsa
(On `Id) We used to forbid our virgins to go out (for `Id prayer). A lady came and stayed at the Palace of Bani Khalaf. She mentioned that her sister was married to one of the companions of Allah's Messenger (ﷺ) who participated in twelve Ghazawats along with Allah's Messenger (ﷺ) and her sister was with him in six of them. She said, "We used to dress the wounded and look after the patients." She (her sister) asked Allah's Messenger (ﷺ), "Is there any harm for a woman to stay at home if she doesn't have a veil?" He said, "She should cover herself with the veil of her companion and she should take part in the good deeds and in the religious gatherings of the believers." When Um 'Atiyya came, I asked her. "Did you hear anything about that?" Um 'Atiyya said, "Bi Abi" and she never mentioned the name of Allah's Messenger (ﷺ) without saying "Bi Abi" (i.e. 'Let my father be sacrificed for you'). We asked her, "Have you heard Allah's Messenger (ﷺ) saying so and so (about women)?" She replied in the affirmative and said, "Let my father be sacrificed for him. He told us that unmarried mature virgins who stay often screened or unmarried young virgins and mature girls who stay often screened should come out and take part in the good deeds and in the religious gatherings of the believers. But the menstruating women should keep away from the Musalla (praying place)." I asked her, "The menstruating women?" She replied, "Don't they present themselves at `Arafat and at such and such places?"