It is not uncommon for your professional piercer to bend the screw, so it has a loose fit inside the nose. This extra lank accounts for drainage, discharge, cleaning, and swelling. Since it is bent to be a little loose you can expect the inside to move around, this is completely normal.
Moreover, how can I make my nose ring tighter?
In this way, is it normal for my nose piercing to stick out?
This means that the jewelry, at first, will be slightly larger in order to accommodate for swelling. This may cause the screw to protrude from the base of the nose. If you find your nostril screw sticking out, or the ends flip down after getting the piercing, give it a week; this will often resolve itself.