I get things like that, it's gross but I've used a cotton bud (english version of Q-tip I think?) to take it out before, best thing to do if you are going to us use a big mirror and be very careful. Other things I find have helped before and have been suggested by others is eating dry toast, fizzy drinks gulped, gargling with salt water or tea tree oil and water, these are all also known to help tonsillitis...

Hope you feel better soon, I know how horrible that is..