Renting only to international university affiliates on particular kinds of visas is directly discrimination on the basis of all of citizenship, national origin, immigration status, and source of income, and might also constitute disparate impact discrimination (which California FEHA also covers as well as direct discrimination) on other protected grounds if the direct discrimination wasn't enough.
As a former lawyer, I realize it's possible to make the argument, but it's probably clear from the legislative history of the law that it's meant to protect people who are on visas, not people who aren't.
Also, she would probably say that her rule is that she only rents to people who have an extremely compelling reason to leave after 1-2 years. Compelling reasons include time-limited positions (postdocs) or visa restrictions.