Back in the real world, Lilith was not surprised when she heard about Adam's reckless plan. She had already summarized that he had inherited Cain's true curse. Which would mean that he was a true immortal being like his father.
The moment she saw him move stealthily, she hesitated slightly at his reckless action but in the end, decided to not stop him. Even though she might lose the occasion to steal Asmodeus's Authority, just making sure he didn't come to earth and become stronger was enough for her in itself.
This weird contradiction between her feelings and rationality of it all caused a lapse in judgment and she had forgotten one small thing.
Devils were cunning bastards who always had one trick or two hidden up their sleeves. It was ironic that a being as old as time herself could make such a mistake but she did and she would curse herself endlessly for that.
