It's possible. From what Iz--Kanesan-san told me, he saw three people. The man was already injured, and a woman with long hair was trying to revive him. A third woman with short hair came up and killed the woman with long hair. Her body was then used in the ritual circle and summoned something that tore the short-haired woman's arm off.

It's possible that yours came first, actually. And a third person intervened and killed instead.

It's confusing, isn't it? [He does nothing at all to try and tell her that the name is Tamamo.]