  Recent STM experiments and theoretical considerations have highlighted the
role of interaction-driven orbital selectivity in FeSe, and its role in
generating the extremely anisotropic superconducting gap structure in this
material. We study the magnetic excitation spectrum resulting from the coherent
quasiparticles within the same renormalized random phase approximation approach
used to explain the STM experiments, and show that it agrees well with the
low-energy momentum and energy dependent response measured by inelastic neutron
scattering experiments. We find a correlation-induced suppression of
$(\pi,\pi)$ scattering due to a small quasiparticle weight of states of
$d_{xy}$ character. We compare predictions for twinned and untwinned crystals,
and predict in particular a strongly $(\pi,0)$-dominated response at low
energies in untwinned systems, in contrast to previous itinerant theories.
