  We revisit a three-family Pati-Salam model with a realistic phenomenology
from intersecting D6-branes in Type IIA string theory compactified on a
$\mathbf{T}^6/(\mathbb{Z}_2 \times \mathbb{Z}_2)$ orientifold, and study its
naturalness in view of the current LHC and dark matter searches. We discuss
spectrum and phenomenological features of this scenario demanding fine tuning
better than 1\%. This requirement restricts the lightest neutralino to have
mass less than about 600 GeV. We observe that the viable parameter space is
tightly constrained by the requirements of naturalness and consistency with the
observed dark matter relic density, so that it is fully testable at current and
future dark matter searches, unless a non-thermal production mechanism of dark
matter is at work. We find that $Z$-resonance, $h$-resonance, $A$-funnel and
light stau/stop-neutralino coannihilation solutions are consistent with current
LHC and dark matter constraints while the "well-tempered" neutralino scenario
is ruled out in our model. Moreover, we observe that only Bino, Higgsinos,
right-handed staus and stops can have mass below 1 TeV.
