In fact, it was her plan to get Hera expelled from the university, ensuring Hera wouldn't have any chance to rise again and thwart her happiness. However, she never said this explicitly, she instead dropped hint after hint to her friends. Knowing they were simple-minded and naive, she trusted they wouldn't realize she was manipulating them to achieve her goal.
Now that the two had mentioned this information in front of the student body and it was already out in the internet, Alice felt her head spinning with anger and her blood pressure rising. Before she knew it, she had already fainted.
No one believed she genuinely fainted at that moment; it was just too perfectly timed. Instead of explaining herself, she conveniently passed out, making it seem like a scene straight out of a drama.