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We investigate super-linear spreading in a reaction-diffusion model analogous to the Fisher-KPP equation, but in which the population is heterogeneous with respect to the dispersal ability of individuals and the saturation factor is non-local with respect to one variable. It was previously shown that the population expands as $\mathrm{\u0111\x9d\x92\u0218}\left({t}^{3/2}\right)$. We identify a constant ${\mathrm{\xce\pm}}^{*}$, and show that, in a weak sense, the front is located at ${\mathrm{\xce\pm}}^{*}{t}^{3/2}$. Surprisingly, ${\mathrm{\xce\pm}}^{*}$ is smaller than the prefactor predicted by the linear problem (that is, without saturation) and analogous problem with local saturation. This hindering phenomenon is the consequence of a subtle interplay between the non-local saturation and the non-trivial dynamics of some particular curves that carry the mass to the front. A careful analysis of these trajectories allows us to characterize the value ${\mathrm{\xce\pm}}^{*}$. The article is complemented with numerical simulations that illustrate some behavior of the model that is beyond our analysis.