I'm sick of being alone. I'm not introverted enough to handle this kind of loneliness.

Go volunteer at a shelter or soup kitchen. You will meet other volunteers as well as many people who will make you very grateful for the life that you have. Dont expect to make friends because that has you trying far to hard and leads to dissapointment. Just be yourself but you have to engage with people more and show yourself to be friendly and intrested in others.