We examine a diffuse emission region near the center of SNR0509−67.5 to determine its nature. Within this diffuse region we observe a point-like source that is bright in the near-IR, but is not visible in the B and V bands. We consider an emission line observed at 6766 Å and the possibilities that it is Lyα, Hα, and [O II]λ3727. We examine the spectral energy distribution (SED) of the source, comprised of Hubble Space Telescope B, V, I, J, and H bands in addition to Spitzer/IRAC 3.6, 4.5, 5.8,and8 μm bands. The peak of the SED is consistent with a background galaxy at z≈0.8±0.2 and a possible Balmer jump places the galaxy at z≈0.9±0.3. These SED considerations support the emission line's identification as [O II]λ3727. We conclude that the diffuse source in SNR0509−67.5 is a background galaxy at z≈0.82. Furthermore, we identify the point-like source superposed near the center of the galaxy as its central bulge. Finally, we find no evidence for a surviving companion star, indicating a double-degenerate origin for SNR 0509−67.5.