You want something real, MMA, at least the fundamentals. I'm not saying your daughter should be a cagefighter, but cagefighting over the past 10 years has basically eliminated fake from the real martial arts. The martial arts that are quick to learn, and can be devastating, if the need requires.
I think I had been training Jiu Jitsu for only a month and was drunk and wrestling a buddy of mine that's 240lbs 6'2" (I'm 6'0 about 175). He was much stronger, much bigger, but from simple knowledge of some basic techniques, I was throwing him around like a ragdoll. It was pretty funny.