Kate, Princess of Wales, is said to be “doing well” by a palace source, but this is despite Prince William pulling out of attending his godfather King Constantine of Greece’s funeral. This news also comes amid Kensington Palace refusing to say whether the cause of William’s last-minute exit was due to the Princess of Wales. The news also comes at a time when King Charles III is battling cancer, but it’s the future queen that has many royal analysts on alert with this particular cancelation. Her Royal Highness underwent a “successful” yet “serious abdominal operation on January 16. The day afte…