Women are not given a level playing field in this world. Men tend to be physically larger and therefore stronger than women, and for the most part this is going to lead to a lot of problems in terms of how they are going to feel safe when they are outside. Malicious men are known to cause lots of problems to women that they would definitely prefer not to deal with but often have to since there is no other recourse that they could possibly end up looking into at this point in time all in all. The fact of the matter is that if you want your daughters to stay as safe as possible while they are outside, you need to start teaching them self defense.
There are a few things in particular that will need to be done in this particular area. The first thing that a girl should learn is how to prevent someone from grabbing them from behind by breaking the hold that they have on them and making it so that they would no longer be able to find a way to get their hands on them again. The assailant should then be attacked in their weak points, with the eyes and the neck being particular areas of importance here. A lot of people think that attacking the groin is going to be useful, but most men tend to reflexively protect this area of the body, so using pepper spray on the eyes is a much more effective technique all in all.
The official website of self defense tool providers is going to be highly useful for you if you truly want to end up teaching your daughters how to keep themselves safe.