A combination of a component and a composite, the composite having a) a PMC layer, and b) a tile layer comprising a plurality of Ox/Ox CMC tiles, each tile having: i) a central portion, ii) an outer portion and iii) one or more overlap joints formed by the overlapping of the outer portions of adjoining tiles so that hot gases entering a smooth top surface of the tile layer between abutting outer and central periphery segments must travel laterally between the overlapping outer portions of adjoining tiles to reach a top surface of the PMC layer. A method of heat shielding a component with a heat shielding composite comprising a) providing the composite and b) applying the composite to a surface of the component.