Yes, Kill la Kill originated as a manga. It gained popularity and was later adapted into different mediums, with the anime being particularly well-known.
I'm not entirely sure as I haven't read it specifically. But generally, a 'villainess' light novel might be about a female character who is initially seen as a villain in a story, perhaps in a fantasy or fictional setting.
Sure does! The official manga of Kill la Kill exists and offers a different take on the story compared to the anime. It expands on certain plot points and gives more depth to the characters.
The ending of Kill la Kill manga is quite intense. The main characters face their ultimate challenges and there's a resolution that ties up most of the storylines.