We report a comprehensive study of single-crystal ${\mathrm{BaNd}}_2{\mathrm{PdS}}_5$, a Shastry-Sutherland lattice (SSL) antiferromagnet. Thermodynamic and magnetization measurements identify an AFM transition at $T_N\approx 3.6\mathrm{K}$. The ${\mathrm{Nd}}^{3+}$ local-crystal-field environment imposes a rigid, mutually orthogonal Ising anisotropy, effectively splitting the SSL into two perpendicular magnetic sublattices. This orthogonal spin texture is demonstrated by a pronounced in-plane anisotropy: the saturation magnetization and the critical fields for suppressing AFM order along [100] and [110] directions differ by a factor of about $\sqrt{2}$, in close agreement with a minimal two-sublattice model. The low-temperature phase diagram for $B\parallel \left[110\right]$ reveals a field-induced quantum critical point near 2.2 T and a sublattice-selective partially polarized ordered state, in which the field-coupled sublattice is polarized while the orthogonal sublattice remains antiferromagnetically ordered. Together, these results establish ${\mathrm{BaNd}}_2{\mathrm{PdS}}_5$ as a platform to explore how lattice and site symmetries constrain collective magnetism in frustrated insulators and to guide engineering of sublattice-selective quantum criticality.

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• Frustrated magnetism
• Magnetic anisotropy
• Quantum phase transitions
• Antiferromagnets
• Rare-earth magnetic materials
• Magnetization measurements
• Specific heat measurements