I can just see Nazrin teasing Kogasa for getting her butt whipped by Reimu as well. Kogasa would then respond by telling Nazrin to be quiet.

Nazrin: So much for the ambush.
Kogasa: It was your idea!!!

I'd love this one even more if Kogasa is wearing her trademark clogs.

lost them in the battle is my guess

At least, she was not killed or raped.
The actual thing with Kogasa is to make her trying to scare peoples, and getting raped or horribly wounded.