I recommend "The Cold King's Attraction: The Fierce Concubine Obediently Enters the Urn". The female protagonist of this novel is called Leng Youyue. She traveled to ancient times and became the Crown Princess. Her father was also a high-ranking general. Some parts of the story were similar to the plot described in the question. For example, the female lead's surname was Leng and she was the Crown Princess. This book was an ancient romance novel that told the story of the love between Leng Youyue and the cold prince. I hope you like this fairy's recommendation. Muah ~😗