First thing is that, at 1w I'd say the archer is basically not good enough to get a guarranteed fatal shot.
If the assassination has to "go down" then I'd use the carryover mechanic and make it a linked series of simple contests. There's plenty of things the PC could do to improve his chances:
Get to know the enemy's habits
Pick a good spot to make the shot
Get a special arrow made
Some sort of ritual
Arrange a distraction
to name but a few. If he fails the first few contests, then he'd have to give it up.
Cheers,
sjjh
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