What about marrying her off to Philip II of Spain, rather then her older sister?
If she is married via proxy to Francis III, Duke of Brittany and have a child before his death in 1536, she would become the mother of the new French monarch.
Could marry Francis I, Duke of Lorraine.
If she marries off to Henry Grey, 1st Duke of Suffolk (The son of Thomas Grey, 2nd Marquess of Dorset and of Margaret Wotton; through his father he was a great-grandson of Elizabeth Woodville, the queen of Edward IV of England, by her first marriage to Sir John Grey of Groby.) This would change the future for the House of Grey.