The Princess of Wales, Kate Middleton, 42, has successfully undergone abdominal surgery at the London Clinic near Regent’s Park this week. She is currently recovering in the hospital and is expected to spend another week there before being moved to Adelaide Cottage in Windsor to regain her strength, RadarOnline.com has learned. Despite her health setback, Kate is determined to continue her royal work from her bed with an “unwavering commitment” to the nation. Palace insiders have revealed that Kate is eager to return to work as soon as possible but is currently prioritizing her children and fa…