Much depends on the angle at which the storm crosses the slick. In the Northern Hemisphere, hurricanes rotate counterclockwise, with the largest storm surge occurring where the winds blow in the direction the storm as a whole is traveling—that's in front of the eye and off to the right. (Meteorologists worry over a hurricane's dangerous "right-front quadrant.") So if a powerful storm approached the slick from the southwest, say, its most potent winds would push the oil forward, instead of sweeping it off to the side and out of the storm's path. If the storm then plowed into the Gulf Coast, you'd expect an oily landfall.
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http://i.imgur.com/ULD3F.jpg