I have some kind of a nail fragement in the side of my toe

I had an ingrown toenail about 1 year ago, had to remove a part of it, and now I've just noticed that there's some kind of a nail fragment in my toe, could it be that the doctor didn't remove it and it healed up with it? Feeling kinda scarred

Can we have a picture?

https://gyazo.com/06413e52a62a141c6353cfebf8bc13ac

can't upload it, It's too big in size

Is it painful?

it does when I try to move it, it doesn't when it stays still, I forgot to say, I can see there some transparent-ish pus

I cant see any fragment left in. I think its probably just still in the healing process.

It's there, from the photo's perspective it's one the top left corner