I wondered the same thing and had seen several references to a "governor". Checked with Wikipedia to find out that "The Governor of Sint Maarten is the representative on Sint Maarten of the Dutch head of state (King Willem-Alexander). The governor's duties are twofold: he represents and guards the general interests of the Kingdom and is head of the government of Sint Maarten."

So it would appear to me that SXM "governor" position serves the same purpose as our "governor general" and would be the final authority on whether new elections are required to form a government or the new coalition could just take over.

Hopefully this is resolved soon so that things can move forward!