We don't get hurricanes here, but we do get heavy wind in August and torrential tropical rain in the summer.
The most important issue with rain is to make sure the coop is not located in a flood zone. Move the coop to higher ground or perhaps dig trenches to divert the flow of known water paths. Since hurricanes can last a long time, it would be a good idea to make sure the chickens have a place to go to stay dry.
Perhaps the most difficult problem is wind, because it can really wreck your coop if it's not built well. My coop is a large welded frame of heavy steel L-shape beams. A few months ago a 50ft tree landed on it and it bent it a little bit, but it's still 100% functional. So build your coop well!
Some coops have open air walls and solid roofs. To me, that sounds like a good recipe for a glider-coop. If you have a coop like that, perhaps you should board up the walls with plywood.
Lastly, position the coop in a place that naturally reduces the wind. Perhaps inside a garage, against a house, near a hedge, etc. If you have a forest near your house, put it in the forest. But be careful with this strategy - weakened trees may fall down so you'll have to really observe how safe the area is by looking for warning signs of weakened trees that are likely to come down. You need to be observant of your property year-round to learn where the low-wind areas are.
As some people have pointed out - keep your finger's crossed!