The phrase "direct flame" means a fire that is produced by a visible and immediate source of heat. It refers to a flame that you can see directly, without any barriers or obstructions in between. Full definition
With your grill at medium - hot heat, place each piece cut - side down, avoiding direct flames. (bonappetit.com)
Remove the skillet from the cook the other side of the Naan over direct flame of the gas burner (bubble side facing the fire) with tongs. (ecurry.com)
If adding sausages to the churrasco, pierce them lightly with a fork and place on the grill away from direct flames about 10 minutes before adding the rest of the meat. (fieryfoodscentral.com)