The non-equilibrium annealing of structural disorder in a two-dimensional XY-model leads to coarsening of defects clusters in cores of spin vortices. We revealed the effect of "inertial" growth of the clusters in coarsening dynamic regime. The calculated transverse stiffness ρ(p, T ) as a function of temperature T and spin concentration p of the system in the high-temperature phase T > TBKT(p) becomes negative and it is described by a power law ρ(p, T ) ∼ T −κ with temperatureindependent exponent κ = κ(p). The dynamical scaling leads to the dynamic dependence of the correlation length ξ ∼ (t/ ln q (t/t0)) 1/z which can be explained by a shift of the spin vortices friction constant γ induced by annealed disorder.