She isn't fully implemented yet, no. I think she might be one of the oldest additions, if not the oldest, not to be fully playable at this point.Since the option shows up every time you enter the shrine even after you say no, I just went with Warn Lily. It was getting annoying.
Is there any content for Fujiko? The walkthrough indicates all sorts of stuff, but I can't get her past Obediance 0. There's no hint about her event. Oh wait the walkthrough says her status is "non playable yet". Guess that means no.