Nikita's 13th episode will surround on the 1st real mission of Alex after she was granted by the Division to become a full pledge agent. The episode is entitled as Coup de Grace (according to Wikipedia, it means a death blow intended to end the suffering of a wounded creature") and set to air on Thursday night, February 3, 2011. Watch out on how Alex delivers his mission with, of course, Nikita's assistance.
The following is a concise synopsis / plot summary of the said episode plus its preview clip.
On her first mission, Alex and a group are assigned to kill the Prince of Georgia at a museum gala. When Alex tells Nikita about the assignment, they build a plan to prevent the assassination. However, Nikita puts her trust in wrong person and the plan falls apart, leading to a stand-off and letting Division know that Nikita is in the building.