Is it permissible to divorce one's wife for reasons related to her lack of personal and domestic hygiene, and her inability to complete her studies, despite her moral commitment and care for the children?

The default ruling on divorce is permissibility. It may become preferable when there is a need for it, such as when cohabitation becomes impossible. You would not be unjust to her if you divorce her. The benefit of divorce may sometimes outweigh other considerations, while at other times it may be outweighed, especially when children are involved.

We advise deliberation on the matter and consulting trustworthy advisors before proceeding with it.