Is a woman permitted to seek divorce from her husband who does not pray, lacks personality and responsibility, is sexually cold, and shows no jealousy or care for her?

It is not permissible for a wife to seek a divorce without a legitimate reason. If the husband abandons prayer out of laziness, she is permitted to seek a divorce. However, if he abandons it while denying its obligation, the marital bond between them is severed, and it is not permissible for her to remain with him, because he is a disbeliever, an apostate from the faith.