@Jesotku
"You can hope" - did you even read the chapter? Things are already moving forward because of Ayano. God knows how long it would take tsundere Lily to make a step forward and now her hand is forced.
@gabeboi
"why not just continue with the story and make shit happen" - make shit happen, excellent idea... Never mind the whole issue with them being from different races (which are in conflict) and that in their minds they have no right to be together. It's not like this was the theme of the entire manga.
They work together and they shared some "moments" but I don't think being in relationship even crossed their minds. Well, until Ayano showed up, Lily became jealous and started questioning things.
But if you really think their relationship would move forward without a big push from outside, then keep dreaming.