The oil spill has gradually drifted to the west away from Florida for the last 10 days. Florida still has no reports of oil, tar balls, or smell. Here is a link to the latest trajectory map from NOAA- Oil Spill Trajectory Map
Here are two other sites that can help you stay updated on the oil spill and whether it will affect the Destin area.
Deepwater Horizon Response - This site offers up to date information on all efforts to clean up the oil spill and which areas are seeing effects.
National Oceanic and Atmospheric Administration - Daily updates and trajectory maps of the gulf oil spill.