Its she. ;-). And she wants to keep the door closed. It should work with the central ac and the intake and ventilation set up proper I think.
Well am I not the village idiot or what. So sorry.
I mentioned leaving the door open and I did not fully explain. It would be a starting point to see if the room gets cooler with the door opening. The problem as I see it is getting fresh air into the room. If she closes off the supply for the open window it will be difficult for fresh air to get into the room.
In construction there is a process at the end of the job where a crew goes into the space and does what is called an air balance report. There is actual a hood that measures the CFM's passing thru the hood for both supply and return air.
There needs to be a way to get fresh air into the room from the appt. With the door closed it will be difficult unless the door has a larger undercut. From what I remember free flow needs to be about 2 1/2 times the forced exhaust. So achieving the desired temperature make just be a matter of getting a new door from depot and undercutting it 4 or 5 inches and replace with the original door before moving.