4th person pronoun?
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Maybe she should be more concerned that students are asking if her class is real.
I am not sure if you are being genuine or not (chat?) but in case you are the phrase is not asking if something is literally real. It's a way to express surprise at a situation "wow this thing is really happening".
I was being genuine, but the explanation “is this really happening?” shouldn’t seem much better from a teacher’s point of view.
But they're not asing if the class is real