Piling on another Hogwarts student :D

Ida is deeply mistrustful of men until they earn it, basically. Especially new professors, especially the young and handsome types (basically the more girls swoon = the more she thinks he probably just got in on charm and being a man). This made her act out when she was younger, and Basil eventually got through to her with lots of patience and niceness, but her attitude is still about the same even if she's gotten more tactful about it. Think like, "wth everyone says this Chang girl is supposed to be one of the best students in her year but why is she so mean?" lol. Especially if he finds out that Ida does plenty of her own self-guided study on the side and can be more helpful than she lets on. If they do get to a place with good rapport, who knows what this might do to Basil who thinks of Ida as his protege. xD

Though she spends a tonnn of time around Basil for the internship she definitely doesn't know Basil and him know each other, that would probably increase her trust in Gus once she found out. That and him actually being demonstrably good at what he does haha.