Turbomachine with a protective screen for the fuel manifold of an annular burner

The engine has a primary air flow reheat pipe with an annular burner (4) having a ring shaped afterburner flame holder gutter (5) whose upstream part is in a secondary air flow. The gutter has a fuel manifold (6) and a protective radiation screen (9) for the manifold. The gutter has an upstream cavity (12) connected to the secondary flow. The screen has, on its upstream part, a vent (13) for space between the screen and the manifold.