Matt R,If it's just a flesh wound, you should be all right in time, I had a similar injury many years ago, but on my right hand, so it just changed my fingerpicking style for a while.
If it was a complete amputation, it could be worse, remember John Wayne Bobbit!
If it's your left hand, you'll just have to get used to playing imaginative chord shapes - remember Django Rheinhardt, and don't despair. Or play left-handed.
It's a bummer, though.