  We show that a thermoelectric transport through a Quantum Dot (QD) -
single-mode Quantum Point Contact (QPC) nano-device demonstrating pronounced
fingerprints of Non-Fermi Liquid (NFL) behavior in the absence of external
magnetic field is protected from magnetic field NFL destruction by strong
spin-orbit interaction (SOI). The mechanism of protection is associated with
appearance of additional scattering processes due to lack of spin conservation
in the presence of both SOI and small Zeemann field. The interplay between
in-plane magnetic field $\vec B$ and SOI is controlled by the angle between
$\vec B$ and $\vec B_{SOI}$ We predict strong dependence of the thermoelectric
coefficients on the orientation of the magnetic field and discuss a window of
parameters for experimental observation of NFL effects.
