Akiha would inmediatly check with them. She already knows about Arihiko without ever seeing him and just in this escene she mentioned how she knew that there arent transfer students on Shiki's highschool so she checked the list of students already....
Or just saying she's the woman who just lost her purse. Shiki found it, then return it to her. Arcueid was grateful that she wants to keep contact with him.
Just say "i accidentally injured her" then "in exchange for forgiveness" i "help her finding stuff she need in this city"
Should've said
"She's a friend I met when I was at the Arima household." or something like that
Akiha would inmediatly check with them. She already knows about Arihiko without ever seeing him and just in this escene she mentioned how she knew that there arent transfer students on Shiki's highschool so she checked the list of students already....
Or just saying she's the woman who just lost her purse. Shiki found it, then return it to her. Arcueid was grateful that she wants to keep contact with him.