How is Hajj performed on behalf of a 7-month-old baby girl who has not reached the age of discernment, in terms of intention, circumambulation (Tawaf), and ritual walking (Sa'i)? Does she have to cover her head, and how is the shortening of her hair done?

A boy's Hajj is valid and counts as a supererogatory Hajj, but it does not count as the obligatory Hajj (Hajj al-Islam). Rather, he must perform Hajj again when he reaches puberty.

If a boy reaches puberty before entering into ihram and intends to perform Hajj al-Islam, this is valid and sufficient for the obligatory Hajj. If he reaches puberty after entering into ihram but before the time for standing at Arafat expires, his Hajj is valid and sufficient for Hajj al-Islam. However, if he reaches puberty after the time for standing at Arafat has expired, it does not count as Hajj al-Islam.

For a discerning boy (mumayyiz), the intention of ihram is required, and he enters ihram with the permission of his guardian. As for a non-discerning boy, his ihram is not contracted by himself; rather, his guardian enters ihram on his behalf, and it is not required for the guardian to be in a state of ihram himself.

The guardian washes the boy, removes sewn clothing from him, dresses him in the izar and rida, and perfumes him. The same is done for a female child, but she is not prevented from wearing sewn clothing. Whatever the boy is unable to do among the Hajj rituals, his guardian performs on his behalf. He is not obligated to compensate for committing any of the prohibitions of ihram, nor is he obligated to complete the rituals if he has entered ihram.

If the boy is unable to walk during tawaf, he is carried while circumambulating. It is sufficient for his guardian to circumambulate with him, and the tawaf counts for both of them.

The boy is required to stand at Arafat and to spend the night at Muzdalifah and Mina. It is permissible for him to depart (from Muzdalifah) before others on the night of Muzdalifah and to stone Jamrat al-Aqaba after midnight. The guardian shaves the boy's head or shortens his hair. If it is a female child, a fingertip's length of her hair is taken. If the boy is able to stone himself, the guardian orders him to do so; otherwise, the guardian stones on his behalf.