What is the ruling on Hajj and Umrah in this era, in which people's intentions have differed and diseases have become numerous, and what is the ruling on performing them given the severe overcrowding and mixing between women and men that the questioner observes?

The difference and corruption of intentions, and the existence of blameworthy mixing, do not justify abandoning Hajj and Umrah (definition). A righteous woman can circumambulate behind men and keep away from them as much as possible. This is the Sunnah (definition) according to Islamic law, and the reward is commensurate with the hardship, as the Prophet, peace and blessings be upon him, said to Aisha concerning her Umrah: "According to the extent of your exertion." This indicates that the reward increases with increased hardship and expenditure.