weirdly specific character building questions — accepting!
i guess it would depend on what kind of relationship Emily has with someone.
with someone she likes (like a friend):
a warm smile; a stark contrast to the cold, piercing stare one might get when they cross Emily's gaze (she's got a serious case of RBF). sometimes she'll have a cheeky grin if she's real close to someone. honestly, Emily is generally reserved and kind of awkward, even with a friend. but there's no mistaking the warmth she tends to emanate towards an ol' buddy.
with someone she loves (like a family member):
a snarky or cunning remark, accompanied by a playful smile. those closest to her are usually family—blood or forged. they are small and far few in between, but she holds them dearly in her heart. which makes her comfortable enough to show a more playful side to her.
with someone she loves (like a romantic partner):
similar to how she'd greet her family, but more cunning and definitely more endearing. Emily would likely tease her partner about something trivial, mockingly or otherwise. she'll read them to filth, but that just shows how attentive she is. she's like a sour patch kid—sour, then sweet. if not a snarky remark, she'll just simply gaze into their eyes, inviting them in. she's got a staring problem, and it only gets worse with her partner. it's very endearing though! as intimidating as she may seem.