No, no, Lycoris. She is definitely in the Lycoris route.
It's so nice to see another Heroine who's genuinely a nice and appealing person. Lycoris is afraid to make connections in this world of Yandere, so a sweetheart like Lily is going to be an invaluable friend.
...That is, of course, assuming Lily isn't a latent yandere herself.