Where are the colleges?
You can find the crime stats for the schools you might attend by googling “Clery Report + name of school.” You should find a page like this one:
http://www.police.vt.edu/crime-stats/clery/index.html
Then you can show her how safe your college is. You should do this alone first and compare them with UT.
The idea that girls are not safe in the world is kind of sexist but somewhat true. I have a daughter in class of 2017. Moms are supposed to worry but not hold you back.
The main thing you can do at college is to not walk around after dark by yourself. It was this way when I attended college in the 70’s and urban crime was actually worse back then.
Good luck with college. If she can’t be persuaded there is a list of rolling admission colleges here and a list of colleges with openings comes out in late May after most students have committed.