He became the chaplain of Charles Seymour, 6th Duke of Somerset, and Vice-Chancellor of the University of Cambridge.Having been schooled in his home town, he was admitted to St John's College, Cambridge in 1724.He was eventually made domestic chaplain to the Duke of Somerset, who was chancellor of the University of Cambridge.Green campaigned against the Methodists, writing two pamphlets called "The Principles and Practices of Methodists Considered",[7] but was dissuaded from writing a third by the Archbishop of Canterbury, Thomas Secker.He began to lose the approval of the court when he voted in favour of a bill in the House of Lords for the relief of Protestant dissenters.