Women, like men, are obliged to call people to Allaah and to enjoin what is good and forbid what is evil, because the texts of the Qur’aan and Sunnah indicate that, and the words of the scholars clearly state that. So women have to call people to Allaah and enjoin what is good and forbid what is evil, following the guidelines of sharee’ah, just as men are required to do.
A woman should not be deterred from calling people to Allaah by feelings of anxiety or lack of patience because of some people looking down on her, insulting her or mocking her. Rather she has to put up with that and be patient. If she thinks that people are mocking her or making fun of her in some way, then she should pay attention to something else, which is that she should be the best example of observing hijaab in front of non-mahram men and avoiding mixing freely. She should be careful to ensure that her da’wah is free of anything reprehensible.
If she makes da’wah to men she must do so whilst observing hijaab and without being alone with any non-mahram man. If she makes da’wah to women, she must call them wisely and making sure that her attitude and behaviour is above suspicion so that no one will criticize her or ask, “why doesn’t she start with herself?” She has to keep away from clothing that will distract people, and avoid all kinds of fitnah (temptation) such as displaying her beauty or speaking in a soft manner, for which she may be criticized. She must take care to call people to Allaah in a manner which will not harm her religious commitment or her reputation.
And Allah knows best.