The Shulhan Aruch in Siman 17:2 rules that women are exempt from the Misva of Sisit. Since there is no Misva to wear Sisit at night, it is considered "Misvat Aseh SheHazman Gerama" (a time bound positive commandment," from which women are exempt. Nevertheless, Maran states that a woman may wear a Tallit if she wants, but should not say a Beracha, as is the Sepharadic tradition. The Rama adds that today it is considered arrogance for any woman to wear a Sisit. The Aruch Hashulhan (Rav Yechiel Michel Epstein of Nevarduk, 1829-1908) explains the reason why wearing Sisit is more arrogant than performing other Misvot from which a woman is also exempt. He says that if a woman sits in a Sukkah or shakes a Lulav, there is no issue because a man is categorically obligated in those Misvot. However, regarding Sisit, even a man is only obligated if he has a four-cornered garment. Therefore, for a woman to go out of her way to get a four-cornered garment in order to perform the Misva is arrogant.
Moreover, according to the Targum Yonatan, a woman wearing a Tallit constitutes a violation of the prohibition for a woman to wear men's clothing. The most severe problem with a woman wearing a Tallit is because in contemporary society it is a symbol which promotes practices and values originating in the Reform and Conservative movements, which are antithetical to the Torah. We must do everything in our power to avoid affiliation with them in order to clearly delineate authentic Judaism. It goes without saying that according to Rabbenu HaAri (Rav Yishak Luria of Safed, 1534-1572), there is no spiritual value in a woman wearing a Tallit. In light of all this, the consensus of the Poskim, including Hacham Ovadia is that a women should refrain from wearing Sisit.
SUMMARY
A woman should refrain from wearing Sisit.
