“There certainly is no halachic barrier for a woman in the woman’s section to wear a tallis.”
While there is absolutely no halachic question that a woman can wear tzitzit, there may be an issue if the woman is wearing a talit that looks like a man’s talit. I’ve seen Rabbi Yehuda Herzl Henkin quoted to that effect. The photographs I have seen of WOTW seem so show them in talitot that look like those of men. I don’t know why they don’t follow Rabbi Henkin who is a huge supporter of increased roles for women in Orthodox Judaism and is a posek that anyone could rely upon.