Ok, maybe I'm remembering wrong, but didn't the husband lie about being out of town so he could spend time with his ex? That's not something you do just to talk...
So, did a little etymology digging, and Shirayuri can easily be translated as "Gay Thoughts".
Oh, and there's a vtuber named Shirayuri Lily.
Truth be told, her name is probably Shiroyuri, aka White Lily.
Pretty standard, but the gay is moving fast. Guessing the friend almost let drop that Nao was romantically interested in Haruka. Also guessing that it was Haruka's play that convinced Nao to keep acting.