What I like about Lily is that she is not afraid of Quinn at all. The girls in HOTs know her toxic character and reputation prefering not to mess with her. Lily is here as a pledge and she doesn't care about Quinn's authority. I can't say about her exact motives, is she doing this for herself, to gain weight in the HOTs or was really protecting Mona, her motivation and what is in her head is not entirely clear to me - but it was powerful.
Quinn was uncomfortable when some pledge show her place, openly played with her and said that she doesn't care about anything at all and she is here because Tommy asked her to (this is of course not true, she was here looking for a drug supplier)
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Lily is smart, has leadership qualities and is quickly gaining weight in HOTs - Sage puts her in charge of organizing parties instead of Quinn. I like Quinn, but Lily as a leader and successor to Sage would be much better for HOTs. If not for one small "but" - this game of king and queen turned me off a little, otherwise she would be much higher for me.