I've studied various disciplines, and I feel that Krav Maga is excellent for learning the real world basics. Unfortunately, instructors in Krav Maga are few and far between in this country.

Other than that, I agree with what was already said and find a family friendly school that will make her feel more at ease.

In addition to personal protection, good martial arts instruction will also add structure, focus and self esteem that will benefit the child in all areas, and make your job as a parent easier as well.