That is an oversimplification.
And it was Henry VIII, AFTER he broke with the Catholic Church, who had him executed.
Henry VIII of England
However, around 6 October 1536, Tyndale was tried on a charge of heresy and summarily condemned to death, despite Thomas Cromwell’s intercession with Henry on his behalf
http://nethelper.com/article/Henry_VIII_of_England#Martyrdom_of_William_Tyndale