I only found myself distracted - by both the beauty of what had just happened as well as the intrigue Leone had just drummed up in me because of her actions - for but a moment, and after that moment passed I immediately looked towards Leone to tell her to destroy the Core.
That was what was keeping me from receiving a notification, and even without it I had a feeling in the back of my mind that was telling me this Dog Goddess was still alive, but apparently she had the same feeling I did since during my loss of focus she just eradicated the rest of the Dog Goddess' corpse.
Three swift and very loud blasts were unleashed as she turned the sand around her into glass, each explosion blowing away large portions of the monster and terraforming more and more of the desert we were standing on.