  We study the effect of a Rashba spin-orbit coupling on the nodal
superconducting phase of an Ising superconductor. Such nodal phase was
predicted to occur when applying an in-plane field beyond the Pauli limit to a
superconducting monolayer transition metal dichalcogenides (TMD). Generically,
Rashba spin-orbit is known to lift the chiral symmetry that protects the nodal
points, resulting in a fully gapped phase. However, when the magnetic field is
applied along the $\Gamma -K $ line, a residual vertical mirror symmetry
protects a nodal crystalline phase. We study a single-band tight-binding model
that captures the low energy physics around the $\Gamma $ pocket of monolayer
TMD. We calculate the topological properties, the edge state structure, and the
current phase relation in a Josephson junction geometry of the nodal
crystalline phase. We show that while the nodal crystalline phase is
characterized by localized edge modes on non-self-reflecting boundaries, the
current phase relation exhibits a trivial $2\pi $ periodicity in the presence
of Rashba spin-orbit coupling.
