Avon was confused why Maiden had freaked out about the girl somehow murdering people with a 'Death Note'. Avon decided that Maiden was probably watching too much anime, and decided to limit her to 6 hours a day instead of 12. Regardless, the girl finally introduced herself as Ayaka, showed the same confusion Avon had hidden regarding what Maiden was talking about, and mentioned a confusing phrase regarding seeing anyone to send back to in the Intro Guide she'd been tasked to read. Then she abruptly tried to leave, worrying that she'd said too much already.
Tempest interjected with how the Death Note isn't real, and stopped the fleeing Ayaka with a very nearly threatening comment, though finishing with an out through being-a-cop. Avon wasn't going to let this opportunity pass him by though, as something interesting had just happened, and he couldn't hide the smile on his face as he walked closed to Ayaka. It wasn't a sinister smile of any sorts, but more of a freudian slip of a genuine smile creeping across his lips.
"Miss Ayaka, I know all of the Police Officers in this town; I don't mean that to be intimidating, but I'm fairly sure you aren't one of them is my point. I'm willing to accept that you're very likely a member of some sort of club at your High School, but you've said something that piqued my interest. May I please see this Intro Guide of yours?" He was using his most charming voice, the one that he usually reserved for the President, Minister, or some other High Office Public Official. He gave her the same out Tempest had offered, while using his own experience to decline the Police option as it didn't make sense to Avon, and then dropped his bombshell of a question regarding the Intro Guide.
Avon eyeballed the girl now that he was closer. He couldn't sense it before, but something about her energy didn't feel.... human. Tempest felt Human, despite having the ability to call Lightning from the sky; Maiden felt Human, despite being able to control Dust; but Ayaka.... did not. Avon couldn't quite place it though; like a painting that you knew was fake but didn't know why you knew so. She was blank, emotionless almost, so was either very new to social situations, was very socially awkward, or had some other difficulties in her personal life. He was scrutinizing her, though, considering every detail about her that he could confirm with what she had said and what else he could confirm.
So far, Avon had come to a few conclusions he hadn't shared with the others yet. Her name, Ayaka, seemed Japanese, which fit her appearance. The likelihood of it being a pseudonym was low, and the fact that she didn't give a surname with her own name increases the chances of it being her real name. With less information to go off of, there was less to look her up, which meant that Ayaka was in fact most likely her real name. Second, her High School uniform was missing an obvious key detail that a real High School girl would never be seen without when in her uniform. Ayaka had no backpack or purse to contain her belongings, and was simply carrying them around with her at the moment. A real High School student would have something to carry their things in on the daily, and were very very used to carrying them around, and would probably rather use their backpack or purse rather than just carry around a notebook and pen.
Third, Ayaka was not Human. Avon had lived a very, very long life, and could say that with certainty. He just couldn't be sure of what she was. It wasn't Hollow, that much was sure; and it didn't seem like a Quincy either. It seemed almost alien in nature, but it was entirely masked by something else, something completely and obviously human. Almost obnoxiously so. She wasn't like him, not at all; she was something entirely different. It almost seemed familiar, but Avon couldn't place it. The mask covering it was too strong, and was just potent enough that Avon couldn't catch a whif of the real thing and try to isolate it.
Despite Ayaka being literally one inch shorter than Avon when they were both standing tall, Avon crouched and looked up to her, in an attempt to appear less intimidating and seem smaller than he was. He smiled again, and held his hand out towards her, hoping that she'd place the supposed Intro Guide into his hand and he'd get his answers.
"I promise we mean you no harm, Ayaka. Tempest over there can control Lightning, but she wouldn't use it on you; Maiden just cleans things really well, don't even worry about her. And I'm just, honestly, a regular bloke." He was lying through his teeth even though it was completely true. He knew damn well he was infallibly immortal, he just didn't know why, and hadn't been able to figure it out yet, but otherwise was truly a regular bloke. "We just want to be your friends. Honestly." Avon wasn't lying this time, and his sincerity was palpable.
Truthfully, Avon had originally stopped because it was rare to see someone so young with pure white hair, and he wanted to learn more. He hadn't even noticed the High School girl outfit, and simply focused on her white hair being rare for Humans, before he got out of his car and the delinquents dealt with themselves. He did want to learn more about her, and he wasn't lying about wanting to be friends with her, but he had his own facts and logic he was working with. He'd just had a very, very long time to build a poker face, and he wasn't about to fold any time soon.