Some of those discussing the topic of women engaging in Da’wah online are missing the core point of contention. The disagreement is not, and should not be regarding the permissibility of a woman engaging in Da’wah. This is something that is established through the general texts of the Qur’ān and Sunnah.
In reality, the point of contention is regarding a specific context; women engaging in Da’wah through specific mediums which some perceive to be contentious in light of the Sharī’ah.
Consider the following example: Is it Islamically acceptable for a sister to sit in a Masjid before thousands of men and women, without a veil between them, teaching them a text in fiqh? This is an example of the real point of contention.
Secondly, some are framing those that disagree with this type of context to be from a specific theological background, namely, the Salafī background. It should be noted that it isn’t only Salafīs that disagree with this framing. In fact, many of the louder voices who are for segregation in educational contexts are vehemently anti-Salafī.
Allah knows best.