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You think Chujin would just kill Chord again after seeing her alive... what changed that?
Well, its canon that Chujin didnt want to kill the Integrity soul- he says it himself, in his tapes.
"I only wanted apprehension..."
So, him following Chord was to make sure he couldn't escape. He didnt really have a plan, he just wanted to make sure the human couldn't hurt any more monsters.
But when he turns the corner, expecting to see a horrible, evil human hellbent on destroying monsterkind...
All he saw was a scared child.
Tldr
(Also i get the confusion because chord IS very girlypop, but he is a boy!)