Prince William, Duke of Cambridge, Catherine, Duchess of Cambridge, Kate Middleton

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Kate Middleton has that pregnancy glow—and looks like the fashion-forward picture of health, too!

The Duchess of Cambridge made her first public appearance since announcing her pregnancy with royal baby No. 2. Prince William's wife, whose gray Alexander McQueen coat dress revealed just the tiniest hint of her bump, was forced to cancel a handful of appearances earlier in her pregnancy as she suffered from Hyperemesis Gravidarum, but on Tuesday at London's Royal Garden Hotel, Kate was all smiles and appeared to be feeling just fine.

Prince George's mum, who wore a stylish gray Jane Taylor hat to match her fitted frock, joined her hubby at the hotel to welcome Tony Tan, the President of the Republic of Singapore, and his wife, Mary, to the United Kingdom. Kate, 32, and William, also 32, previously met the Tans during their 2012 Far East Diamond Tour.

Per the Mirror, the Singaporean president's wife told Kate she was glad she could make the engagement. "So am I," replied the duchess, who is 12 weeks along in her pregnancy. "I've been looking forward to getting out of the house, that's for sure!"

President Tan reportedly commented on the beautiful view of Kensington Palace, prompting William to joke, "You can probably see into our bedroom window which is a bit worrying—I wouldn't look too closely."

The royal couple went on to travel with the Tans to the Horse Guards Parade for a a ceremonial welcome, presided over by Queen Elizabeth II and Prince Philip. Afterwards, the Tans joined the queen, Philip and William for a private lunch at Buckingham Palace.

Kate did not partake in the lunch festivities, but she is expected to attend the Wildlife Photographer of the Year 2015 Awards Ceremony at The Natural Museum of History Tuesday evening.

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