That ts note: Geir did nothing wrong, behead Big sister Hilde for being a beheader bully.
Oh, and that chapter does confirm that besides using a Valkyrie as a godly weapon a human fighter indeed links with her soul (and the souls of all other warriors a Valkyrie has made a contract with, thanks for the explanation, Hermes) thus increasing his powerlevel.
Funny how Poseidon looks way younger than Zeus, despite being the older brother.
I wouldn't be even mad if Kojiro wins, he looks like a fun character.