Is it permissible to give the value of the udhiyah to a poor, sick relative who needs money for treatment instead of slaughtering the udhiyah?

The general rule is that slaughtering the sacrificial animal (Udhiyah) is better than giving its price in charity, because the act of slaughtering and shedding blood is intended as an act of worship intrinsically linked with prayer.

However, if there is a sick relative in dire need of treatment and medicine, then assisting them takes precedence over offering the Udhiyah, especially if their illness is severe and their need for help is critical.

This is supported by what was narrated from Bilal: "For me to give its price – meaning the Udhiyah – in charity to an orphan or a dust-covered person is more beloved to me than to offer it as a sacrifice." It is also supported by the statement of Sheikh al-Islam Ibn Taymiyyah: "If a person has needy relatives, then giving charity to them is better. Likewise, if there are people in dire need of financial support." And the statement of Sheikh Ibn Uthaymeen: "If the choice is between the Udhiyah and paying off a poor person's debt, then paying off the debt is more deserving, especially if the debtor is a relative."