Day before yesterday, I emailed a potential supervisor asking whether she is accepting PhD students. The profile of the supervisor is in the faculty directory of University of Southern California. She is said to be a Clinical Associate Professor. Her latest publication is affiliated to that university. I haven't received any response yet.
However, I am also interested in another university i.e., University of Toronto. While looking at the faculty directory there, I found out that she is an Associate Professor at that university. There it mentions that she used to be a faculty member at USC. I am extremely confused with her university affiliation. I want to apply to both of these universities but for University of Toronto, another professor's research interest closely aligns to me. Will it be an issue if I reach out to that other professor as a potential supervisor at University of Toronto? Since, I'm not sure whether she still belongs to USC (though it mentions in their directory), shall I reach out to another potential supervisor at USC? Or shall I ask the graduate admissions officer about her status? All of this feels like a mess. It feels unethical to reach out to more than one potential supervisor at the same university. How should I handle this?