It will definitely depend on how many book between the 1st and 7th and how much those rooms are already booked as it is. No one knows how many rooms are even available in each category prior to FD being announced. I would recommend you look at the resort now and see if a garden view at POFQ is still available for your dates.
You may have to decide which is more important, the FD or POFQ.
POFQ books up pretty quick since it is the smallest Disney resort (this is why it is sometimes excluded). You may have the choice of upgrading to a different room category to get FD, and you would have to decide if you are willing to do that.
Since you are already booked, you don't have the option to upgrade on line, so there will also be others booking online starting at midnight on May 7th so you would definitely need to weigh your options and be prepared when you call in.
Pixie dust for you! Good luck!