What is the meaning of the prohibition from Paradise mentioned in the ḥadīth: "Any woman who asks her husband for divorce without a sound reason, Allah has forbidden Paradise for her," and is it meant as a deterrent and a threat, and how can its meaning be conveyed to a disobedient wife?

The Hadith warns a wife who seeks divorce from her husband without a strong reason that she will not smell the scent of Paradise. This is a severe warning, intended to exaggerate the threat. It may mean that she will not find the scent of Paradise initially, along with the righteous, or that she will be deprived of the pleasure of its scent even if she enters Paradise. This meaning can be explained to the wife in a way that suits her understanding.