We report on the effect of randomly-distributed amorphous defects, at the length scale of the superconducting coherence length, on in YBCO. These damages were created by ions irradiation with a wide range of energy and fluence. Typically, in previous experiments, was found to vary with ion fluence, species, energy, and ionization charge, and also on the chemical composition and density of the HTS. Neither a phenomenological nor a theoretical relationship between and these ion properties is however known of. We now show that the decrease in is a universal function of the fractional defect volume embedded in the HTS. We also re-analysed several experiments by others, and find that the same universality applies. This finding provides, for the first time, a means to calculate the effect on of disorder as created by randomly-distributed amorphous nanosize defects.