Advisor stuck with Gather Coin

Likely the system clock on your 360 got reset. War table missions count by the time you start them timestamped to the system clock so if you start the mission at 6PM Dec 28, 2014, then quit for the night and the clock resets to 12 AM Jan 1 2014 you would have a long time to wait for that war table mission to finish. You will have to boot up your system, go into the system settings and set the clock to a future date. Then start DAI, complete the mission and then you can reset the time back to normal. Just be aware that your 360 likely has a bad battery on the motherboard so it cannot keep the time and date anymore, and will reset often (maybe always).

If you send your advisors on missions and quit for the night, you should probably check your system clock every time you start up again.