Is it permissible for non-Muslim women to enter the mosque to watch the prayer with the aim of inviting them to Islam?

Question:
Is it permissible for us to allow non-Muslim women and those who display their adornment to enter the mosque and sit so that people can see how they pray for the sake of da'wah? Yes, is it permissible for us to allow non-Muslim women and those who display their adornment to enter the mosque to watch the men and people how they pray for the sake of inviting them to Islam?

Answer:
As for al-Masjid al-Haram, disbelievers and mushrikin (those who associate partners with Allah) do not enter it. As for the other mosques, the scholars differed on whether a disbeliever may enter them or not. The correct view is that he may enter them, because the Christians entered upon the Prophet (peace and blessings be upon him) while he was in his mosque in Madinah. The Christians of Najran entered upon the Prophet (peace and blessings be upon him) and discussed with him while he was in the mosque. Also, Thumamah ibn Uthal was tied up in the mosque before he embraced Islam. So, other than al-Masjid al-Haram, there is no harm in disbelievers entering if they are to listen to the Qur'an and listen to the da'wah. Allah the Exalted said: So, if the intention of their entry is that they hear about Islam and the Qur'an, then this is a good thing.
The Muslim woman is advised against displaying her adornment and advised against uncovering herself. If she refuses, then she does not enter the mosque; she is not enabled to enter the mosque if you have control over her. As for the mosque where you do not have control, you do not prevent her; you are not able to prevent her.