'Lot went out to them to the door' means that he acted cautiously. 'And shut the door behind him' means to prevent them doing violence to good that flows from charity and denying the Lord's Divine Human and His Holy proceeding. 'And he said' means an earnest appeal. 'No, my brothers, do not act wickedly' means that no violence should be done to these - he calls them 'brothers' because it was from good that he made the earnest appeal.