I agree that their are multiple possible interpretations, so I'm going to use Occam's razor. The Delegate and Vice-Delegate may run on a joint ticket during the General Election, but they are separate positions both designated as senior cabinet members in their own right. There is a vacancy in the office of Vice-Delegate; therefore a special election must be run to fill that office.

I don't have time to write an actual opinion tonight (only got home from work 30 mins ago) but if one or both of you agree with the above logic and can do so, I'll review it tomorrow. Time is a factor here, so if you don't agree please right an alternative opinion asap.