Is it permissible to continue communicating with a non-Muslim woman with the intention of marrying her after she embraces Islam, and will the husband be held accountable for her not adhering to the teachings of Islam after his death?

A woman might feign conversion to Islam for specific purposes, and she might corrupt the children's religion and morals. Therefore, one should not rush into marriage with a recent convert until the sincerity of her Islam becomes clear. If she outwardly embraces Islam and then apostatizes after marriage, you are not held responsible for the consequences, provided you exert effort to prevent her from having custody of the children and influencing them. All communication with foreign women must be cut off completely, and their دعوتها (invitation to Islam) should be left to women who are skilled in that, or they should be directed to specialized Da‘wah centers.