No! Chicago like every big and small city gets a bad rap on crime - just make her stay away from inner cities. I doubt any woman would have any interest in them anyway. Chicago is pretty and the shopping looks great!
It is easy to get lost there if driving yourself around (yes there are parking lots and garages in Chicago, though pricey). I used to live in that metro area. I wouldn’t recommend to habitually go downtown except on something like the Metra.