What is the ruling of Islamic law regarding a woman's complete refusal to conceive due to her daughter being afflicted with a hereditary disease, along with a history of hereditary disease in the husband's family?

A Muslim is not permitted to permanently cease procreation, as it contradicts the Shari'ah objectives that encourage reproduction. The Prophet, peace and blessings be upon him, said: "Marry the affectionate and fertile, for I will boast of your numbers before the nations."

Permanent cessation of procreation is not permissible unless there is a certain or highly probable harm to the mother, and no other means are available to avert this harm except complete cessation of procreation. In this case, it is permissible based on the principle that necessities permit the prohibited, and choosing the lesser of two harms. Allah Almighty says: "But whoever is forced [by necessity], neither desiring [it] nor transgressing [its limit], there is no sin upon him. Indeed, Allah is Forgiving and Merciful." (Al-Baqarah: 173).

If the mother is free from harm, there is no justification for ceasing procreation. One should not interfere with divine decree, for Allah knows best His creation and what is good for them. Allah Almighty says: "Does He who created not know, while He is the Subtle, the All-Aware?" (Al-Mulk: 14).