As the last ability resolves, the enchanted creature is put into its owner's library. After it resolves, Shattered Ego is put into the graveyard from the battlefield.

If the enchanted creature's owner has two or fewer cards in their library, the enchanted creature is put on the bottom of their library as the last ability resolves.

The creature will be put into its owner's library even if Shattered Ego is no longer attached to it as the ability resolves.