It put him top of the Race to Dubai standings and put him inside the top 60 in the rankings, and closer to automatic qualifications for the four majors.
Camp then saved two more Guthrie free-kicks but could do little when Enrique scored the first goal of his career to secure all three points and edge Newcastle closer to automatic promotion.
In Group Two, leaders Switzerland took a step closer to automatic qualification with a 3-0 victory in Luxembourg, as defender Philippe Senderos scored twice before Benjamin Huggel also netted in the 22nd minute.