Upon flipping around volume 7 I discover something interesting during Hina's demise.
At the bottom right of the page you notice a spider web at the moment of Hina's death, signifying that the 'spider had caught its fly'.
If this isn't proof enough. Upon browsing around I found this. This is probably from a chapter beyond volume 7.
After seeing these I can roughly guess how Kira fights. Unlike Barasuishou, who can engage direct combat regardless of outcome, Kirakishou relies on trickery and traps and will avoid direct engagement *unless* she is certained she can win.
Kira would set traps from her opponent (Whether it's psychological/physical/emotional traps is does not matter) and waits from her opponent to fall into it (Kira may also manupilate others to speed up the process). When the opponent was caught in the trap, she would play around with the food before going in for the kill.
This way of fighting can be related to Hina Ichigo's demise. Where Grand-daugther of Hina's fromer medium was used as a trap, causing confusion to Hina and was ultimately consumed by Kirakishou.