Febreeze it after it is totally dried. To dry just spread it out over a chair or something that'll keep it open & exposed to air, and air dry (a small electric fan nearby can help speed the process up)...DON'T USE A MACHINE DRIER! I'm sure others have done it and that's fine, but I wouldn't take the chance. If you have to put it in a drier, then only use the air (no heat) mode. Personally I'd rather not buy a new drier or spend my weekend picking feathers out of it.
I had the same problem with a heavy winter jacket the fire department gave me and it worked well for that. (( I never did quite understand what they were thinking...giving us jackets to wear on duty that weren't waterproof. ))