I share your doubts. I think it would have been better to capture him and then put him on trial for the world to see. Doing that would have humiliated him in the eyes of his followers. Now he's their hero who died in the line of duty and they will do what they can to avenge his death. This is no end to terrorism by a long shot.
Jordan foreign minister says to speak with Kerry on Israel-Palestinian conflict (Reuters)
from the article: Obama: Osama bin Laden killed in Pakistan by U.S. forces