Cooled component for a turbine, having a wall which is delimited by a first surface and by a second surface which is opposite the first surface, wherein the first surface is provided so as to be flowed around by a relatively hot medium (M H), which is able to flow from an upstream region to a downstream region, and wherein the second surface is provided so as to come into contact with a relatively cool medium (M K), having at least one film-cooling hole which is inclined with respect to the second surface and which serves for the passage of the relatively cool medium (M K) to the second surface through the wall, wherein the film-cooling hole in question comprises: - an inflow opening which is arranged in the second surface and through which the relatively cool medium (M K) is able to flow into the film-cooling hole, - an outflow opening which is arranged in the first surface and through which the relatively cool medium (M K), which is able to flow in the interior of the film-cooling hole, is able to exit the film-cooling hole, - a virtual central longitudinal axis which extends by a hole length from the inflow opening to the outflow opening, - four peripheral sections which transition into one another successively one after the other along a periphery which is tangential to the longitudinal axis: * a peripheral section (UA H) which faces the relatively hot medium, * a first lateral peripheral section (UA S1), * a peripheral section (UA K) which faces the relatively cool medium, and * a second lateral peripheral section (UA S2), - an inflow section which is arranged between the inflow opening and a transition point and which has a constant throughflow cross section, and - a diffusor section which is arranged from the transition point to the outflow opening, which has a diffusor-like widening of the film-cooling hole and which has a throughflow cross section which increases in this direction, - an outflow-side diffusor edge which is adjoined at the second surface by the peripheral section (UA K) which faces the relatively cool medium, - an inflow-side diffusor edge which is adjoined at the second surface by the peripheral section (UA H) which faces the relatively hot medium, and - a spacing (w bc) between the inflow-side diffusor edge and the outflow-side diffusor edge, wherein the inclination of the film-cooling hole in relation to the first surface is such that the virtual central longitudinal axis includes - in a cross-sectional view through the wall in question - an acute inclination angle (α N) with the upstream region of the second surface, and wherein the peripheral section (UA K) which faces the relatively cool medium (M K) includes - in a cross-sectional view through the wall in question - a rear-position angle (α 3) with the virtual longitudinal axis, wherein the rear-position angle (α 3) has a value which is less than 1°, characterized in that, immediately downstream of the transition point, the diffusor-like widening of the film-cooling hole in the diffusor section has - in a cross-sectional view through the wall in question - a diffusor height (h) which is less than the diameter (d) of the inflow section. - an inflow opening which is arranged in the second surface and through which the relatively cool medium (M K) is able to flow into the film-cooling hole, - an outflow opening which is arranged in the first surface and through which the relatively cool medium (M K), which is able to flow in the interior of the film-cooling hole, is able to exit the film-cooling hole, - a virtual central longitudinal axis which extends by a hole length from the inflow opening to the outflow opening, - four peripheral sections which transition into one another successively one after the other along a periphery which is tangential to the longitudinal axis: * a peripheral section (UA H) which faces the relatively hot medium, * a first lateral peripheral section (UA S1), * a peripheral section (UA K) which faces the relatively cool medium, and * a second lateral peripheral section (UA S2), * a peripheral section (UA H) which faces the relatively hot medium, * a first lateral peripheral section (UA S1), * a peripheral section (UA K) which faces the relatively cool medium, and * a second lateral peripheral section (UA S2), - an inflow section which is arranged between the inflow opening and a transition point and which has a constant throughflow cross section, and - a diffusor section which is arranged from the transition point to the outflow opening, which has a diffusor-like widening of the film-cooling hole and which has a throughflow cross section which increases in this direction, - an outflow-side diffusor edge which is adjoined at the second surface by the peripheral section (UA K) which faces the relatively cool medium, - an inflow-side diffusor edge which is adjoined at the second surface by the peripheral section (UA H) which faces the relatively hot medium, and - a spacing (w bc) between the inflow-side diffusor edge and the outflow-side diffusor edge,