Of the four rumor choices, I would immediately blog about A because if the rumor happens to be false, it causes the least amount of damage. You could easily make up for the false rumor by saying your source was mistaken and it wouldn’t jeopardize a reputation or cause panic amongst a crowd.
The other options, however, are more severe in nature. Blogging about a possible affair the mayor is having with his secretary could damage the reputation of the mayor, if found false. Blogging about the quarterback’s injury and his inability to start in an upcoming game would cause a panic of emotions for those who support that particular team. Finally, blogging about the closing of a local bank with frozen accounts could raise panic amongst those who have accounts there. I would hold off on these three until I could confirm if they are true. These three are ideas that the public should have access to, but only if they are absolutely correct. If they aren’t correct and are still shared, the consequences could be major.