The American teenager King beat Sun 7-6 (7-4), 7-5 en route to her meeting with Henin, who won consecutive titles at the Dubai and Doha tournaments.
Also on Wednesday, American Jill Craybas beat Roberta Vinci of Italy 6-3, 2-6, 6-0. Michelle Larcher de Brito of Portugal downed American Meghann Shaughnessy, 3-6, 6-2, 7-6 (7-3). Nathalie Dechy won a battle of French players by beating Camille Pin 6-1, 6-3.
Notable deaths of 2014 [PHOTOS]