A wind-resistant heating appliance has a housing with air inlet openings for sustaining combustion generating flue products inside that housing which also has an outlet for flue products. The heating appliance has a top structure above that outlet and the housing. A top wall of that top structure is penetrated with exhaust openings for flue products along opposite edges of that top structure. The outlet between the housing and the top structure is provided with a transverse outlet channel inside the top structure and has opposite ends open at the exhaust openings adjacent the opposite edges of the top structure. That transverse outlet channel is solidly enclosed along its top, sides and bottom between the opposite ends, except for the outlet between the housing and the top structure. The exhaustion of flue products in various wind conditions is further aided by increasing the speed of flue products passing through the outlet from the housing to the transverse outlet channel. Where such speed increase is effected by a flue product collector diminishing in cross-section from the housing to the transverse outlet channel, that diminishing cross-section for exhausting flue products conversely presents an increasing cross-section for downdrafts, which diminishes their impact on the heater operation.