Reference: Fataawa al-Lajnah ad-Daa.imah lil-Buhooth al-‘Ilmiyyah wal-Iftaa., – Volume 12, Page 249-250, Question No.4 of Fatwa No.4996
Question: Is there any possibility for a woman to do da’wah outside her home, and how [would that be]?
Response: It is possible for the woman to give da’wah inside her home, to her husband and mahrams [from both] men and women. It is also possible for her to do da’wah outside her home to other women, so long as this does not involve her travelling without her husband or a mahram, and [also that] there is no fear of fitnah, and [that] this is done with the husband’s permission if she is married and there is a need for that, and [that] this does not lead to her neglecting her foremost obligations towards her own family.
And with Allaah lies all success and may Allaah send prayers and salutations upon our Prophet ﷺ and his family and his companions.