What is the ruling of the Sharia regarding a girl's feeling of loneliness and psychological pain due to her not being married or not going out with her family?

This world is a house of trials and a prison for the believer. Delaying marriage might be better for a woman than being afflicted with a bad husband. Do not despair; ask Allah for a righteous husband and seek out times when supplications are answered. Befriend righteous women, seek beneficial knowledge, join a Qur'an memorization class, and fill your time with beneficial deeds. Do not seek to go out to the markets with your brothers and their wives, due to the forbidden things found therein. Praise Allah that He has spared you this affliction. The default is for a woman to remain in her home, in accordance with His, the Almighty's, saying: "And abide in your houses and do not display yourselves as [was] the display of the former times of ignorance."