Dubai does not have a "king" and "queen." Its ruler holds the title Emir (Prince/Commander), and his spouse is Sheikha.
The UAE is a federation of seven emirates, each ruled by an Emir. The President of the UAE is elected from among the Emirs (traditionally the Emir of Abu Dhabi). This system differs from European-style monarchies with kings/queens; titles reflect tribal/sheikhly governance traditions adapted to a modern federal state.