  We analyze a low energy effective model of Dark Matter in which the thermal
relic density is provided by a singlet Majorana fermion which interacts with
the Higgs fields via higher dimensional operators. Direct detection signatures
may be reduced if blind spot solutions exist, which naturally appear in models
with extended Higgs sectors. Explicit mass terms for the Majorana fermion can
be forbidden by a $Z_3$ symmetry, which in addition leads to a reduction of the
number of higher dimensional operators. Moreover, a weak scale mass for the
Majorana fermion is naturally obtained from the vacuum expectation value of a
scalar singlet field. The proper relic density may be obtained by the
$s$-channel interchange of Higgs and gauge bosons, with the longitudinal mode
of the $Z$ boson (the neutral Goldstone mode) playing a relevant role in the
annihilation process. This model shares many properties with the
Next-to-Minimal Supersymmetric extension of the Standard Model (NMSSM) with
light singlinos and heavy scalar and gauge superpartners. In order to test the
validity of the low energy effective field theory, we compare its predictions
with those of the ultraviolet complete NMSSM. Extending our framework to
include $Z_3$ neutral Majorana fermions, analogous to the bino in the NMSSM, we
find the appearance of a new bino-singlino well tempered Dark Matter region.
