An airfoil assembly for a gas turbine engine includes a vane, a support strut, and an inner carrier. The vane is adapted to interact with hot gases flowing around the airfoil assembly during use of the airfoil assembly. The support strut is located in an interior cavity formed in the vane and configured to receive force loads applied to the ceramic matrix composite vane by the hot gases. The inner carrier is coupled with the support strut and adapted to block the hot gases from flowing radially inward toward an axis of the gas turbine engine.