If you are on a cruise ship and a hurricane is forecast, the ship will alter its course to avoid the storm. This may mean that the ports where you planned to visit are changed for other ports outside the reach of the storm.
If the hurricane is active at the port where you will embark or disembark from the ship, your cruise may be delayed or canceled - or the cruise line may move the ship to a port away from the storm.
Cruise ships do not head into hurricanes, except possibly on trans-Atlantic crossings where the options are much more limited.