AIW for refusing to apologize to my professor after correcting her in front of the class?

This happened about two weeks ago and my classmates are still split on it.

I'm a third-year student. During a lecture, my professor cited a 2019 paper and said it found a direct causal link between two variables. I had literaly read that exact paper the week before for another assignment. The paper clearly states the findings are correlational, not causal. In our field that's not a minor distinction, it changes how you interpret everything downstream.

I raised my hand and said something like "I think the paper actually describes a correlational finding, not a causal one." She told me she was confidnet in her reading and moved on. I mentioned the specific section. She moved on again.

After class, three people came up and said I was right. One pulled up the paper on the spot to confirm.

A few days later I got an email from her. She said my "public challenge" was disrepsectful and that I owed her an apology for disrupting the learning environment. I replied that correcting a factual error in an academic setting isn't disrespect, and that I wouldn't apologize.

Now she barely makes eye contact during lectures. A classmate told me I should have talked to her privately after class instead of raising my hand.

Maybe that would have been more tactful. But I just reacted the way I would to any question.

Is it actually wrong to flag a factual error in a classroom?