Actually, in the books there are often cautions to Aes Sedai and the women to be very careful of the Children because they are very good at laying ambushes and a single arrow from hiding is all it takes, Aes Sedai or no. Morraine tries hard to avoid them, and every interaction with Children, even by Elayne and Nynaeve when they can channel well and are not bound by the Oaths is fraught because even a woman channeling is not immune. Against an channeler, you can bet that the Children will scatter and start firing arrows from as many directions as they can and you can't block an arrow you never see, even with the power. It doesn't provide increased awareness so that you can just feel arrows coming at you.
Now, a well trained channeler like one of the Forsaken might indeed be more than a match, but current Aes Sedai are a pale shadow of what they once were.