Duke - A) go on the hunting trip, B) speak to Cromwell, C) Get involved in the trial, D) Warn the Duke. There are some other ways to but all involve choosing the trial, and not going to France. If you are a woman and plead with the King, you will save him in most runs.
Trade-off- I made it so that you have to chose intervention in the trial of the Duke, OR go on foreign mission to France. In retrospect, that’s not the most logical trade-off so I may loosen that up a bit… Some of my trade-offs early on were pretty restrictive; I’ll open it up on the final product.
Staying as Queen - there is a whole bunch of factors for staying on as Queen. If you got the Pope to accept your marriage on the firs-ballot, you will have a son and secure your position. In that timeline, Henry will on ly have two queens.
Otherwise, having i) strong virtue (which was deliberately hard to have if you won over Henry), ii) high intelligence, iii) support of Cromwell, helps you stay on as Queen. EDIT - THIS IS REALLY HARD AT THE MOMENT! - working on it