The official narrative of what you see below is that VP Joe Biden was “comforting (newly installed Secretary of Defense Ashton Carter’s wife) Stephanie Carter after she slipped and fell on ice outside the White House earlier in the day” — while her husband was being sworn into office, that is. Just a bit of shawl chivalry, if that rings a bell.
There is not too much in the way of scientific commentary to be offered related to this.
What constitutes a gaffe is, to state the obvious, socially constructed — a matter of intersubjective consensus between observers. You be the observer, watch the video.