Is it permissible to delay performing ghusl following janabah until after the prayer time has passed due to embarrassment before one's family, and then make up the missed prayer the following day?

Nocturnal emission is a natural occurrence, and delaying ghusl (ritual bath) and prayer because of it is a grave sin, based on the Almighty's saying: "So woe to those who pray, [But] who are heedless of their prayer." The heedlessness here refers to delaying it beyond its prescribed time. Allah has commanded the preservation of prayer, and the Prophet, peace and blessings be upon him, forbade intentionally abandoning an obligatory prayer. Therefore, one must repent and immediately make up for the missed prayers.