This image shows President Barack Obama and the members of the national security team in the Situation Room of the White House on May 1, as the operation was happening. Hillary Clinton actually looks genuinely horrified.
Of course, even while the Secretary of State's face - and everyone else's - is quite telling, we don't know the exact moment of the operation. Are they reacting to the actual killing or just some other moment of the action? We will never know. The White House is just saying that they are "receiving an update":
President Barack Obama and Vice President Joe Biden, along with members of the national security team, receive an update on the mission against Osama bin Laden in the Situation Room of the White House, May 1, 2011. Please note: a classified document seen in this photograph has been obscured.
Doesn't look like an ordinary update to me.