What is the ruling on delaying the Dhuhr prayer until after 1:30 PM due to chronic insomnia, and is it permissible to do so to combine the physical need (sleep) with the religious need (prayer)?

Delaying prayer is either within its preferred time, which is permissible, especially when there is a need, or it is until its preferred time has passed, which is not legislated, and whoever does so intentionally is sinful. As for turning off the alarm unconsciously due to heavy sleep, there is no sin in it, based on the hadith: "There is no negligence in sleep," and "The pen is lifted from the sleeper until he awakens." However, the alarm should be placed far away to ensure complete awakening. Prayer is comfort and tranquility and a refuge during hardships, and Allah has commanded seeking assistance through it. To treat insomnia, it is recommended to increase remembrance (dhikr), supplication (du'a), and obedience to Allah.