The basic rule concerning the rulings of Shari`ah (Islamic law) is that they address both men and women, unless there is evidence that they particularly address one of them. Slaughtering has joint rulings; and we do not know of any evidence that makes slaughtering particular for men. The general evidence showing the permissibility of slaughtering addresses both men and women.
May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.