Is it permissible to eat at the house of a friend who does not pray and sells alcohol as a primary commodity in his shop?

It is not permissible for a Muslim woman to befriend a man who is a stranger to her. As for one who does not pray, he is not a Muslim, according to the hadith: "Between a man and disbelief is the abandonment of prayer." If the source of his wealth is unlawful, then one should not eat at his place. This man is a stranger, a disbeliever due to his abandonment of prayer, and the source of his wealth is unlawful. Therefore, you must fear Allah and distance yourself from him immediately.