  Disordered hyperuniform materials are very promising for applications but the
successful route for synthesizing them requires to understand the interactions
induced by the host media that can switch off this hidden order. With this aim
we study the model system of vortices in the $\beta$-Bi$_2$Pd superconductor
where correlated defects seem to play a determinant role for the nucleation of
a gel vortex phase at low densities. We directly image vortices in extended
fields-of-view and show that the disordered vortex structure in this material
is anti-hyperuniform, contrasting with the case of vortex structures nucleated
in samples with point-like disorder. Based on numerical simulations, we show
that this anti-hyperuniform structure arises both, from the interaction of a
diluted vortex structure with a fourfold-symmetric correlated disorder quite
likely generated when cleaving the samples and from the out of equilibrium
nature of the quenched configuration.
