The King was looking for her everywhere because he needed her medical skills. The imperial doctors in the court were skilled, but not as capable as she was. She detoxified the King before, and he lived on her drugs. That was why she was never threatened in the capital - the King was more or less guarding her.
The imperial doctors failed to study the pills she produced, nor were they able to make better ones. So the King needed her.
Otherwise, Gu Ruxue and Mrs. Gu would be cruel enough to cause her a lot of trouble in the capital, her father Gu Zhenkang hated her too. Thanks to her medical skills, she was under protection.
Gu Chaoyan was actually glad to check up on the King, who trusted her medical skills.
It was a good deal that she could live a peaceful life with her knowledge of medicine.
Gu Chaoyan smiled briefly.