Blailey scored the winning goal from a penalty kick which he secured after a mistake by goalkeeper Paul Bernardoni in the 39th minute.
Ajaccio have moved away from the relegation zone to climb to fourteenth place with 15 points, looking forward to the rest of the matches in this stage tonight.
Ajaccio added to the injuries of their host, Angers, who last scored with 8 points, and who were looking for just their third win this season, by noting they played the match without their two Moroccan stars, Sofiane Boufal and Azzedine Onahi.
In a second match, Troyes and its host Nantes drew 0-0.