Yale stored the body of the matriarch before entering the Storage Space.
Although Yale wasn't injured, he was mentally exhausted after ending the life of the matriarch.
Controlling the Time Law to look all the time to some second into the future while using Water Control, Time Freeze and Lightning Spear was extremely difficult for Yale at that moment and required all his concentration to make his plan succeed. In fact, if it weren't because Yale was a reincarnated expert, there was no way that his soul could endure until using that combination of skills.
Inside the Storage Space, Yale went to a place where no one else was and rested there for three hours before deciding to go to the ship and report the situation to the others.
Yale knew very well that everyone was waiting to see him, but he needed those three hours of rest before anything else.