Regarding Purdue, here is a link to the Purdue Data Digest: https://www.purdue.edu/datadigest/. If you click on the interactive links to “Applications, Admits, and Matriculations,” and “New First-Time Beginner Profile,” you can see how your test scores and GPA compare to recent entering classes at Purdue.
I seriously doubt that you would receive any financial aid from Purdue.
In the US, yes, this is the case. She may not be eligible for sponsorship in the US. As for where the student will return to, after her education, and her living situation, is a question for her to investigate in her country of origin.