The Margaret Beaufort Institute of Theology is literally just around the corner and also may have single rooms.
International postgraduate students are given preference at Link House
Across the City is a local Christian news service, with accommodation adverts at the end.
University Rooms Cambridge can help you find a spare room in a Cambridge College, to give you a real feel of Cambridge university life. The nearest colleges to Tyndale House are Wolfson, Selwyn, Robinson and Newnham.
College Bed and Breakfast, Cheap Hotel and Guest House Accommodation (added before 27/01/2016)