Skin has grown over food that's stuck in my tonsil is that good or bad?

I got some food stuck in my tonsil's (called tonsil stones) and I think some skin or something grew over one of the pieces stuck. Is this good, what I mean is, is it healing? Or is it bad, will it be there forever and continue to make me cough if I don't dig it out? I have a huge gag reflex so the doctor could not pull out the pieces. She just told me to gargle with salt water. Which I have only done once since it is so nasty. What do I do?