What can Akira actually do to her? She's employed by the most famous academy of Pansylvania. If Akira attacked her, Pansylvania would kick them all out of the country, making them lose the opportunity to try to stude the red potion situation. If he killed her, Pansylvania might use the opportunity to have him executed in retaliation. Pansylvania has little respect for Stromheim, so I doubt they would be overly worried about repercussions. They would probably judge the consequences quite tolerable in comparison to Stromheim losing the strongest summoner in the world. While Akira is next to helpess alone, if he's protected by competent fighters, he does turn extremely dangerous.
I guess the only question mark would be the Pansylvania king's obsession with Akira's father.