ABC plans to air the winter finale of OUAT, in it's entirety, as soon as the speech is over. So it might air from around 8:15 to 9:15 or so, but it could always be later than that, depending on the length of the speech.
So make sure to set your DVR for extra time. Or if watching live, make sure to stick around after Obama's speech, because OUAT will be airing!
And I assume the situation is similar for prime time programming on the other networks as well. (And probably delaying any later shows, too.)
Edited by Sci-Fi Girl, 06 December 2015 - 08:00 AM.