The incident earlier with Snow makes Lune start considering a lot of things, especially when in regards to mates. If she doesn't agree to be Chilve's mate soon, this means he will have to wait since he kept saying there's no one else for him, which means it will be hard for him when he comes into heat, right?
Yeah, she should ask Rin about this during their lesson. Right now she is alone in Chilve's room, where Chilve had been dragged away by his pack to make some decisions after his secret place is exposed, which means he might not be able to be back to her side for some time with how angry the rest look like earlier. Before she can get changed into something more comfortable, someone knocks on the door and she asks, "who is it?"
"It's me, Rin."
After telling her to enter, the brunette follows and when she sees the blonde, she smiles, "did the both of you get the chance to have enough alone time before Snow's interruption?"