She received the award for her role in Hong Sang Soo's 'On The Beach At Night Alone' and received the award from Diego Luna (Star Wars 'Rogue One'). As many of you know, there's a lot of controversy surrounding her "relationship" with the famous director.
During her award speech, she thanked Hong Sang Soo and stated that the happiness that she feels and the award she received is all thanks to Hong Sang Soo. She also ended her speech by stating, "I Love You Hong Sang Soo."
The couple never officially confirmed that they were dating. However, with their first public appearance together and Kim Min Hee stating that she loves Hong Sang Soon, this is serving as strong evidence, that they are having an intimate relationship.