1. A medical image display apparatus comprising: a computer that is configured to: acquire first image data related to an oxygen saturation distribution in an organism generated by performing image reconstruction on the basis of an acoustic wave generated by irradiating an organism with light; acquire second image data generated by performing image reconstruction based on an acoustic wave generated by irradiating the organism with light, the second image data being different from the first image data; acquire information on a threshold determined on the basis of operation of a user; acquire, on the basis of the second image data and the information on the threshold, information related to a first region as a noise where a value of the second image data is lower than the threshold or related to a second region as a blood vessel where the value of the second image data is higher than the threshold in order to determine a blood vessel position; acquire, on the basis of the first image data related to the oxygen saturation distribution and the information related to the first or second region, an image related to the oxygen saturation distribution by trimming the first region as noise; and output the image related to oxygen saturation distribution to a display unit configured to display the image related to the oxygen saturation distribution in such a manner that the first region of the image is darker than the second region of the image, wherein the image reconstruction is performed by a method selected from the group consisting of a Fourier transform method, a universal back projection method, and a filtered back projection method.