Is it permissible for the youngest sister to keep her deceased mother's gold, having donated its value on her behalf, given that the divorced sister is demanding the gold, claiming she was not consulted and that she has a share in it?

The mother's statement before her death about her gold: "It is for her young daughter," is not considered a will. If the daughter took possession of the gold before her mother's death, then it is hers. However, if she did not take possession of it before her mother's death, then the gold is an inheritance to be divided among all heirs. If the youngest sister disposed of the gold after consulting all heirs and obtaining their permission, then nothing is incumbent upon her. But if she did not seek permission from everyone, then she must guarantee the share of those she did not seek permission from. If the divorced sister did not authorize donating her share, then she has the right to claim it, and whoever disposed of it without her permission must guarantee it to her. If the divorced sister remained silent for seven years without objecting to her youngest sister's disposition, then there is a difference of opinion regarding the persistence of her right. The ultimate authority for resolving such disputes is the Sharia court.