Gigaclear
Essex County Council and Epping Forest District Council have contracted with a company called Gigaclear to deliver ultrafast fibre broadband (and telephone) services to properties in the northeast corner of the Epping Forest District, including Fyfield. This is expected in early 2016.
You can go to http://www.gigaclear.com/postcode-checker/superfastessex to register or http://www.superfastessex.org/en-gb/home.aspx for details of the Essex rural project which covers Fyfield.