President-elect Catherine Connolly must consider what her presidency will be and how the political programme which expresses it will be structured. Photograph: Charles McQuillan/ Getty ImagesAfter the count was concluded a week ago, Catherine Connolly and her team went to a private room allocated to them in Dublin Castle. Meanwhile, many audiences are theorising on this very question – looking for clues on what the Connolly presidency will look like. President-elect Catherine Connolly will likely look for people within the President’s Establishment who have Irish, it is understood. [ How is Catherine Connolly likely to approach foreign policy as president?Opens in new window ]First Minister Michelle O’Neill – who is, of course, not a head of state – may be among Catherine Connolly's first phone calls as president.