"The Queen's Fool" by Philippa Gregory
And, she has a boyfriend, too. Her father as arranged for her to eventually marry a young Jewish doctor who is not enthusiastic about Hannah's life at Court. They are on-again, off-again through much of the book, he wants a traditional wife, Hannah is 400 years too early for feminism and cross-dressing; because of her gift, she is able to talk back to the high nobility of England with no punishment.
The book was readable, I wish there was more about the way of life of the secret Jewish people who blended in to society in public, but kept their faith in private. One character, John Dee, an early English scientist used fictional Hannah to foretell the future. I googled him to learn more about his historic alchemy and obsidian mirror he used like a crystal ball.