Locate all of your other keys; just to be sure you don't have an extra one lying in the vehicle. Even then, it shouldn't cause battery drain but we want to eliminate the easy/simple/quick/cheap first. Does the same behavior occur in any location? If it only occurs in one location, that could be a potential clue.
From stereo to anything plugged into the Diagnostic Port, any modifications?
What is realtime voltage reading at the battery as the problem occurs? Based on your initial post, I *ASS-U-ME* this is a battery drain situation. The voltage reading is typically a clue as to whether this is really the case.
The goal of the following is to gain "silent" or undetected entry to the fuse panels after it sits long enough to go into standby mode.
I'd create a log-chart for each fused circuit, recording the name, what's on it and the amperage pull after a given time frame. F15 fuse memory serving, runs the SYNC system. I'd start with that fuse, and possibly the fuse in front of the body control module; whatever that may be.
After one hour, everything I assume, should be in standby mode. If the battery hasn't been drained, you could even wait three hours. They give some detail on standby and deep-sleep behaviors in the owner's manual.
One tricky part to this is to gain entry to the vehicle without the vehicle realizing it. Things wake-up when you approach and start doing stuff; we want to avoid that. You'll need to leave the key fob in the house... or well away from the vehicle if you have an indoor garage. (If your room is right next to or above the indoor garage, this could be a problem.) You'll need to defeat the hood monitoring switch. The security system monitors this and at this point, everything is suspect. If there isn't a fuse box panel in the cabin area, you can ignore the following. You may need to defeat a door jamb switch, or if it's monitoring the door handle pull, or door-latch, leave the windows down and enter Dukes Of Hazard style. My old vehicle, not a Fiesta, monitored both the door latch and door jamb switch, but for different systems.
Another tricky part to this is the fact that pulling a fuse, kills that system. Plugging that fuse back in, could have affect of waking that system back up for another timeout period. But you need to have the amp-meter inline with the fused circuit in order to measure draw. But it may take 30 minutes, an hour, for the system to go to sleep after wakeup; killing a LOT of time unless you got 20+ volt meters. The common limit for common inexpensive amp meters is only 10A. We're not really replicating the conditions without first running the vehicle before shutoff... which for many circuits, would exceed 10A. So bottom line, we may be forced to test for amp-draw without fully replicating the conditions.
So, with the understanding that we're not fully replicating the conditions, we can conduct initial testing via pulling fuses, putting the amp-meter inline on that circuit, and subsequently measuring amperage pull after a given time period.
The other approach is, using educated guesses, pull a different fuse each night and seeing whether the battery goes dead. If the battery ceases to be dead on a particular fuse, then this greatly narrows down the list of suspect systems.