their

Technically, "his or her," but I am beginning to accept "their" with a singular antecedent.  We had another police officer killed on duty last night, and the name isn't released until the family is notified and other arrangements are made.  The media don't know whether it is "he" or "she" -- I suppose that shows progress of some sort --  so "their" is appropriate.  

You could have written "your."