The reason why the Goddess of Light Luminaria entered integration phase is simple. She could not longer wait any longer as the mortals were craftier than she has anticipated. There were more things that could injure her than she expected, and that the world was still restricting her even if she used an ancient forbidden spell.
Since she managed to awaken three greater god level neo angels, she believed that they are enough to guard her while she intercepts the world. The Goddess of Light Luminaria is not just integrating with the world as if she is taking it in, but she is rewriting it. She is basically overwriting the current state of the world that she has always been the High God present in the mortal realm.