Working at a university grad school that is about 40% female, I'd tell her to go for it. But I would add the caveat, that she should do some practical work along the way, Actually build some circuits, learn to use a scope, and hit the EE department up to hire her as a intern or departmental tech assistant etc. Right now I'd guess where I'm at the skilled to unskilled ratio is 1 to 12 or 1 to 15 regardless of male or female. Many of our students have ZERO lab or production time before they get here.
I spend a lot of time teaching screwdriver/hammer/plumbing/soldering skills to students so they can understand their experiments, and the thing that gets people ahead here is a good mastery of the practical world plus the theory.
Get her started in robotics or RC planes or microcontrollers or something, even if its a basic stamp!
Steve Roberts