Is it permissible for a woman to go out to protests?

It is permissible for a woman to participate in legitimate protests, provided she adheres to Islamic guidelines such as wearing the hijab, avoiding suspicious mixing, and lowering her gaze. If these conditions are not met, then it is not permissible for her to go out. The fundamental principle is for a woman to remain in her home and leave such roles to men, unless her participation achieves a significant benefit that cannot be attained except through her. In such a case, her going out would be preferable, if the Islamic guidelines can be met. The assessment of these benefits falls under matters of ijtihad (independent juristic reasoning).