What is incumbent upon a woman who performed all the rituals of Hajj except that she completed some of the last circuits of Tawaf al-Ifadah while in a state of impurity (lacking Wudu'), then prayed two rak'ahs after Tawaf, and has since returned to her country?

Scholars differ on whether ritual purity (ṭahāra) is a condition for the validity of tawaf, holding two opinions: The first is that it is a condition, and this is the madhhab of Malik, Shafi'i, and one of the two narrations from Ahmad. The second is that it is not a condition, and this is the madhhab of Abu Hanifa and the other narration from Ahmad. According to the proponents of the second opinion, if a person in a state of minor ritual impurity (al-muḥdith) or major ritual impurity (al-junub) performs tawaf, it is sufficient, but a compensatory sacrifice (dam) is due. According to Abu Hanifa, if it is a menstruating woman or a junub, the sacrifice is a badana (camel). According to Ahmad, it is a sheep. There is also a narration from Ahmad that if a person forgets their purity until they return to their homeland, nothing is due from them. A woman who has returned to her homeland is obligated to send the value of a sheep to be slaughtered in Mecca and distributed among the poor of the Haram, and her Hajj remains valid. As for the two rak'ahs of tawaf or any other prayer, they are not valid except with ritual purity, by consensus, and the two rak'ahs of tawaf are a sunnah according to the soundest opinion.