Even if Kyoko had a bad past, after earing the story about Chidorin, she probably gonna try to help the girl, it's usualy the way Kyoko-chan is.
But, maybe been with along side Ren for so long, Kyoko might help Chidori, but the same way as Ren helped Kyoko, who knows ? Especialy if she found out that Chidori as a bad side or some sort of "revenge" against people of the show-biz because of her scar ?
Guess will see soon in the couple chapter to come. ^^