What should I do concerning my wife's desire to work to combat loneliness, and my refusal due to fear of neglecting the home and children, especially given that religion does not support a wife working outside the home without a dire necessity, and is against having a maid in the house without a mahram?

The default is for a woman to remain in her home, as Allah Almighty says: "And abide in your homes." There is no objection to her going out for permissible work, provided there is a need and it adheres to the parameters of Sharia. It is permissible to employ female domestic workers as long as it does not lead to unlawful seclusion (khalwa) or temptation (fitna). It is not necessary for going out to work to be the only way to overcome loneliness and boredom. Rather, understanding can be reached between the spouses, and the woman can go to Quranic memorization centers or institutes of Islamic knowledge, while placing her children in a trustworthy daycare.