What is the ruling on a wandering mind during prayer? Is it permissible for a woman to sit with non-mahram men to advise them about religion? What should she do to be among the righteous women?

The fundamental principle regarding speaking with men about religious matters is permissibility, provided that Islamic guidelines are observed, such as not uncovering 'awrah (intimate parts), not softening the speech, and avoiding khalwa (definition) (private seclusion). This is supported by the fact that the Mothers of the Believers taught the Companions.

Spouses must cooperate in obedience to Allah, and the primary responsibility for teaching goodness to his family falls upon the husband, as Allah Almighty says: "O you who have believed, protect yourselves and your families from a Fire" and "And enjoin prayer upon your family."

To help the wife strengthen her faith, one can provide her with righteous female companions who are committed to Islam, or utilize modern technologies such as religious channels, websites, and audio recordings.