  We construct perfect fluid tori in the field of the Kehagias-Sfetsos (K-S)
naked singularity representing spherically symmetric vacuum solution of the
modified Ho\v{r}ava quantum gravity that is characterized by a dimensionless
parameter $\omega M^2$, combining the gravitational mass parameter $M$ of the
spacetime with the Ho\v{r}ava parameter $\omega$ reflecting the role of the
quantum corrections. In dependence on the value of $\omega M^2$, the K-S naked
singularities demonstrate a variety of qualitatively different behavior of
their circular geodesics that is fully reflected in the properties of the
toroidal structures. In all of the K-S naked singularity spacetimes the tori
are located above an "antigravity" sphere where matter can stay in stable
equilibrium position, that is relevant for the stability of the orbiting fluid
toroidal accretion structures.
