We present a detailed study of Australia Telescope Compact Array observations of a newly discovered Large Magellanic Cloud supernova remnant (SNR), SNR J0533-7202. This object follows a horseshoe morphology, with a size of 37 pc x 28 pc (1 pc uncertainty in each direction). It exhibits a radio spectrum with the intrinsic synchrotron spectral index of alpha = -0.47 +/- 0.06 between 73 and 6 cm. We report detections of regions showing moderately high fractional polarization at 6 cm, with a peak value of 36 +/- 6 per cent and a mean fractional polarization of 12 +/- 7 per cent. We also estimate an average rotation measure across the remnant of -591 rad m(-2). The current lack of deep X-ray observation precludes any conclusion about high-energy emission from the remnant. The association with an old stellar population favours a thermonuclear supernova origin of the remnant.