i'd go get that looked at. my son did a similar thing a couple years ago and they were able to make it look pretty normal. that will take a long time to heal on its own and won't heal right with the nail damage.
This. By all means. Can’t tell on my phone due to small photos, but it looks like exposed bone, meaning an open fracture, You don’t want infection or you’ll lose more of the finger. A repair can make it look and work better than you’d expect. Fortunately, sort of, most outdoorsmen get dinged up enough that our tetanus shots are current. Save the booze for when the ER bill comes. Glad it wasn’t worse.
