It’s not coming out

So I have what I believe to be a tonsil stone (I’ve had them before so know the icky feeling).

It isn’t a regular occurrence though. Maybe once every 5 months let’s say.

I have a chesty cough and a cold coming on at the minute but this afternoon I felt a nagging tonsil stone at the back of my throat.

Ive tried all day to get it out. What usually works for me is eating something like a chew or sweet and it usually goes away but I’ve tried it and it’s not going away.

It’s so uncomfortable. And whenever I swallow I get a gagging sensation. I have emetophobia (fear of throwing up) as well so I get really paranoid about the gagging and coughing trying to get it out.

I also can’t see them/it either, after shining a torch down my throat and trying to find it but with no luck.

Any suggestions would be appreciated!