How can I fix my lateral incisor tooth from sticking out? (photo)

What you see is probably not the lateral sticking out so much as it is the central incisor pushed in, or it could be a combination of both. Teeth only move when something changes. Every time you swallow the upper piercing (the barbell one) pushes back with lip pressure. Also, chewing on/playing with the lower piercing can also move teeth. Your gums are pretty inflamed and I see lots of plaque between your teeth which could account for the pain and certainly is the cause of the bleeding. (I see this type of tooth movement quite often in patients with similar piercing who come in for consultations with concern just like yours)