GRAY LADY: The Duchess of Cambridge, pregnant with her second child is back in action. After retreating from the public eye while she suffered from hyperemesis gravidarum, a temporary condition that results in nausea and vomiting during early pregnancy, she made her first public appearance to welcome the president of Singapore during his state visit to Britain. She joined the Duke of Cambridge to greet Tony Tan Keng Yam and his wife Mary at the Royal Garden Hotel in London on Tuesday. The duchess teamed a gray Alexander McQueen coat with a Jane Taylor gray velour hat and a black suede Jenny Packham clutch. Later in the evening, the Duchess of Cambridge attended the Wildlife Photographer of the Year awards ceremony at the Natural History Museum, of which she is a patron.