Thing is don't score points with Lilly.
I had 1-2 points with her for the entire game and didn't see any track team story just hints from tume to time
I get that they wanted her to be fleshed out as a character. But Emma's backstory did that well for her. But Lily's has nothing to do with the MC or the problems in the story right now. It's just a parade of new characters you'll never see again.
I wouldn't mind romancing her, but your chances are few unless the MC is at work.