At first Beatrix appears as a battle maniac only wanting to fight Kazuki, but after some time later she falls in love with him because of his outstanding powers. Later in the series she always starts acting shy around Kazuki or when he calls her Beatrix-chan. Her ultimate goal is to make Kazuki lose against Aisu because if Kazuki will lose against her, he will become just a simple student and Beatrix will be able to take Kazuki back to her homeland and live with him.
She viewed her originally as a target to get rid off. But now she is on neutral terms with her, since they haven't interacted much with each other.