As the event went live.. the dropped items from Lightning Fates are called Unworldly Parcel x 2 per FATE. One is for the weapon and one if for the clothing which opens up every 2 days real time. So.. basically there is no limit on how many ( Unworldly Parcels ) you can collect. If and when you change your toon Male/Female using the Fantasia ... you still will have available the Parcels in your inventory...
The NPC in Feb. will offer the same items and since you triggered the quest already.. there should be no reason you cant trade for the other gender stuff in FEB. But by doing this you render the previous gender gear as 5 spots in inventory you can never use. So basically.. your complaint goes back to why cant you just Gender Swap (at will) like changing a job class.