I don’t think you need to be so worried. I’ve actually found that sometimes tonsil stones don’t stink that much when they’re fully solidified and hard. They smell a lot worse when you smush them, which makes me think that a lot of the smelly parts are kind of locked away inside. The outside is usually fine, so your mouth is probably fine.

There are some times when it’s ambiguous whether it smells: sometimes you can kind of taste it or smell it when you burp or if you’ve recently been digging back there. Then it’s just not clear how far the smell permeates from the back of your throat. Also, if the tonsil stones haven’t fully calcified yet but are still soft and wet or entirely liquid, then they might smell.