Im on the xbox 360 version and I recently got shot with an arrow. They were dissappearing until this one, its stuck in my chest and I have tried almost everything to get rid of it? Is there something im missing

Not game breaking but anoying, lol

It goes away eventually. Trust me.

Hey! It adds depth to your character.
You can add a back story and everything to it.

I did encounter this bug though, on the starting NPC that walks you out of the first dungeon during intro. He had an arrow that I may have shot stuck in his left leg, and I swear it stayed in there till we made it to town... Not sure if its there still or not.

And finally go to the BUG Forums. that'll at least let them know it exists.

Tried fast travel and entering a new cell?

The trick that worked for me (and others before) was to find an hostile archer and be shot by arrows again...then the new arrow will replace the old one and dissapear. Problem solved.