The trigger to continue the quest is talking to the fox-girl, if you don't see the quest update after the shrine then it's a bug because after that it tells you do defeat Ram-girls (or the secret alternative)
She's not an enemy (sort of) (yet), you've gotta talk to her with either right-click or, on Android, touch-and-hold/camera mode+touch. I do want to revise how the Shrine works later, it's a bit awkward.