Not to worry...My family was there in 1999 during Hurricane Floyd. It was the first time ever that Disney closed the parks due to a hurricane. They advised us to stay in our room for the day. However, people were out and about at the resort and Downtown Disney opened back up at about 4:00. It really was no big deal, they were just being cautious. We stayed for a week so we didn't feel like we missed out on anything anyway. The hurricanes rarely come that far inland. We always go during hurricane season...less lines!