Is it permissible to distribute meat or rice pudding instead of slaughtering a sheep to fulfill a vow, knowing that the price of the ring and the wedding band is not enough to buy a sheep?

If someone vowed to sacrifice an animal, their vow is an act of obedience that must be fulfilled, based on the Prophet's (PBUH) saying: "Whoever vows to obey Allah, let him obey Him; and whoever vows to disobey Him, let him not disobey Him." If she vowed from the price of a ring, thinking it would be enough to buy a sheep, but it turned out not to be, then she must buy the smallest share that qualifies as a sacrifice, such as one-seventh of a cow or a camel. Al-Nawawi said: "A camel is sufficient for seven, and likewise a cow." If the price of the ring is not enough to buy a valid sacrifice, even one-seventh of a camel or cow, the vow is annulled due to her incapacity, and she must offer an expiation for breaking an oath, unless she finds other money to add to it and buys a sacrifice. This is based on the hadith (definition): "And whoever vows a vow that he cannot fulfill, its expiation is the expiation for an oath." What she did is not sufficient, and buying meat with the price of the ring is not sufficient, because the sacrifice is a specific act of worship.