Tough timing, J. I've never weathered a hurricane at WDW, so I am just speculating here, but FWIW:
Disney has a page here: https://disneyworld.disney.go.com/hurricane-matthew-info/
with some info, but seems to be focused on people who are either on-site or leaving, rather than arriving. I guess the best thing would be to try to get through on the regular WDW phone number(s). Be prepared for that to be a long wait, however.
I would think that things will be out of sync for a few days, even if they do officially reopen the closed parts of the operation. It will take a while to clear out the rooms where people had to stay longer than they planned, clean everything up, restock depleted supplies, clear any debris or damage, etc. Just because they are open, I would not expect truly normal operations for several days. Likewise for airline/airport/shuttle operations. There will be a ton of people trying to get out, as well as get in, so expect delays.
On top of all that, the weather people still haven't talked much about the big turnaround that they think this storm will be making. At least one longer term model suggests that it might circle back around and hit central Florida again, so Orlando may still be in harms way. I suggest monitoring that closely, based on how long you are planning on being in the area.
Tough decisions, I know, but I hope you are able to get some real answers and not just my guesswork! Good luck with your plans.