Ah just a flesh wound.......
Couldn't be in a much worse spot for shooting a bow though geez.
You should be good to go if the stitches come out before the opener, but yep your right no shooting for a while.
At least you didn't do any tendon damage, any deeper and you would have been having surgery to re-attach those.
They put those warning signs on those things for a reason bud, so you don't stick your hand in them.