Is it permissible for a wife to perform Hajj with money inherited from her father, given that his will stipulated that the value of his inheritance be given as charity, and is this considered a debt upon her for which she would be sinful?

If the deceased leaves behind wealth, the heirs must first prepare and shroud the body from the estate, then pay off the debts, and then execute the bequests from one-third of the estate before its distribution. It is not a condition for the enforcement of a bequest that it be documented or written; rather, the heir's knowledge of it suffices. The heirs must execute their father's bequest, and whoever among them refuses has sinned, and their share from the bequest is unlawful (haram).

The unlawful (haram) amount in the wife's possession is her share of the bequest's money, and she must disburse it and place it in the designated charitable cause (masraf al-wasiyya) specified by the deceased. If the Hajj was performed from the same unlawful money, the Hajj is valid, along with the sin of usurpation and consuming unlawful wealth. The wife must return what is due from this money to its rightful owners to clear her conscience, whether she performs Hajj or not.