I have looked her up Keith. Which is why I knew she was a she, despite your post.

"His theological theories, including the non-divinity of Jesus, would have seen him executed many times over without any reference to his science at all, so why invoke it?"

According to Wikipedia, which isn't perfect either I grant you, that isn't what Yates thought though. It says:

"Yates suggested that the itinerant Catholic priest Giordano Bruno was burned at the stake in 1600 for espousing the Hermetic tradition rather than his affirmation of heliocentricity."

The Hermetic tradition was pre-Christian, and said nothing about the divinity of Christ.

Presumably the person who wrote the Wikipedia article has read more of the book than just one paragraph.