He lives in Grouville, Jersey. Shenton entered the States of Jersey at the first attempt. He was elected as a Senator in the 2005 elections, coming second after Senator Stuart Syvret, with 14,025 votes.
On 19 September 2007 he defeated the Chief Minister"s nominated candidate to become Minister for Health & Social Services.
He appointed Senator Jim Perchard as Assistant Minister with special responsibility for social services. As Health & Social Services Minister he represented Jersey at the British-Irish Council Summit held in Dublin on 14 February 2008.
In 2009 he was elected Chairman of the Public Accounts Committee (Public Affairs Committee) and President of the Chairman"s Committee – a Committee consisting of all the Chairmen of the various scrutiny panels and Public Affairs Committee. He resigned from the post of President of Chairman"s Committee in 2011 on a matter of principle upon which he was later vindicated. He decided not to stand for re-election and his term of office ended 14 November 2011.
He has said that he hopes to return to the political arena in the future.
Shenton was responsible for lodging a proposition to grant a winter fuel allowance to old age pensioners in Jersey and successfully having the proposition passed by the States of Jersey. Recent Public Accounts Committee documents include a detailed analysis of the States of Jersey Report & Accounts, the shared-equity scheme, States management of foreign exchange risk, States Spending Review, and a review of Jersey Heritage Trust.