Is it permissible for a husband to message a foreign woman online with the intention of exchanging ideas about the Quran and inviting to Allah, despite his wife's objection?

A man's communication with a foreign woman via the internet or other means of communication is not permissible, due to the great evils it leads to, including the mutual attachment of their hearts. This is a strong gateway to evil and corruption. The Shari'ah came to close these doors and block the means (to evil). A relationship between men and women is not permissible, even if it is for the purpose of aiding in goodness and cooperating in righteousness and piety. Therefore, one must hasten to fear Allah and sever this relationship before Satan leads one into sin. Each party can find someone of their own gender to help them in goodness.