That is a great way to say what it feels like. Mine is the same way but it isnt sticking out of my cervix but in the middle and i can push it into my cervix to feel the opening. i know gross. I havent been feeling inside lately but have been feeling the outer part to see if baby is head down or not. I push on my inside just below my cervix and see if i can feel the head it feels hard and round. I can tell if she has become engaged or not by pushing her head upwards, if she bounces or bobs, she is not engaged. If i dont feel her round head i know she is now breech.
I hope you get to be checked out, i would lie and say i had lots of contractions, then they would have to check you and they will feel the bags too.