By the time her head collided with the wet ground, she had lost consciousness entirely and was dead.
Kazuya felt no joy after taking the goddess' life, so much so that when the others who were watching from a far enough distance came with ecstatic glee to celebrate with him, he did not feel like there was anything worth celebrating.
Orihime came in front of him, looking unusually elated, before embracing him closely, as did Genta. Kenpachi arrived and frowned upon seeing Hiruda's body, lying dead on the wet floor.
He was not around when Hiruda attacked Genta, and neither did he know enough to recognize her. But from what Genta and Master Rina had told him, he could easily make out that the decapitated victim was Hiruda, the goddess of fate.