Well the alliance knows that Hiyori is alive, so the mole hears about it from there too imo. But Hiyori hasn't told the alliance about Kyoshiro being Denjiro and alliance doesn't know yet, so the traitor telling Orochi about it is unlikely atm.
If anything, Kyoshiro may have known who the traitor is, if the traitor works / communicates with Orochi quite often and Kyoshiro, as his guard dog, happened to be there seeing the traitor directly or just listening to phone conversation.
But maybe he doesn't, because otherwise he should tell Hiyori clearly "beware of this person, he is a traitor!"