Many of the places she will likely routinely go it isn't allowed and probably not advised. Gameday, bars, on campus, fraternity/sorority events.
I'm not dissuading the idea of concealed carry but she's not going to be toting her gun every step she takes at least legally.

You'll get the suggestion of the ubiquitous snubnose 38 but I feel like that's a cop out response.
Visit an indoor shooting range with rentals or gather together several different possibilities.

Suggestions from me are. Sig 938, Glock 42/43, Kahr and a S&W Jframe ONLY if she actually likes it.