I Was Eating An Ice Cream Yesterday When I Notice

I was eating an ice cream yesterday when I notice a small piece of wood in my mouth...it was part of the stick it was broken and splintered in the ice cream...thought I got it all till U felt something in my thought about half way down. I tried coughing it up garggling water and bread. Do I need to go to the Dr. No pain just that annoying feeling of something stuck.