Thinks for query,
I do not think piece has gone in the respiratory tract
pipe.otherwise it might have caused breathing difficulty,severe cough
reflex, chest pain
some time piece is swallowed as such in the esophagus
gives little dis comfort in the chest.
if your breathing is alright,no coughing or no difficulty in breathing you should not worry but to be on safer side consult your doctor and let him examined.
ok and bye.