When a puncture wound from the cheek, goes through the throat, it will mostly automatically miss the spine. I think its from an upper hand blow or descending arrow. It will sever the jugular vein, so that's spot on. Lots of facial bone damage, especially the cheek bone and the upper jaw, but its not certain the lower jaw is hit. Last piece of damage no one mentioned is the actual throat itself: the larynx and the associated muscles and air and feed ways. I might consider the larynx an organ, but basically its a bone and cartilage thing. So its all severe damage to the muscles, ligaments, cartilage, bone and arteries.
In my game I would rule the "drops and dies" criticals, as mostly severe trauma. So the wound is so horrible, the victim's brain tries to conserve itself, but can't, shutting down in the process. Fixing the wound and casting an Awakening would do the trick.