Help my baby has a sliver!

Kayla
My 4 month old baby girl some how got a sliver on her finger! It's pretty red around it and she's been fussy today so I'm wondering if that's maybe why? I don't want to dig at it but I don't want it to get infected either. i thought about putting something on it to help draw it out but she constantly has her hands in her mouth...any suggestions? Thanks!