  We extend the concept of accelerated horizons to the framework of deformed
relativistic kinematics at the Planck scale. We show that the non-trivial
effects due to symmetry deformation manifest in a finite blueshift for field
modes as measured by a Rindler observer approaching the horizon. We investigate
whether, at a field theoretic level, this effect could manifest in the
possibility of a finite horizon contribution to the entropy, a sort of
covariant brick-wall. In the specific model of symmetry deformation considered
it will turn out that a non-diverging density of modes close to the horizon can
be achieved only by introducing a momentum space measure which violates Lorentz
invariance.
