  We compute the next-to-leading order (NLO) corrections to the vertices where
a pair of the lightest neutralino couples to CP-even (light or heavy) Higgs
scalars. In particular, the lightest neutralino is assumed to be a dominantly
Bino-like mixed state, composed of Bino and Higgsino or Bino, Wino, and
Higgsino. After computing all the three-point functions in the electroweak
MSSM, we detail the contributions from the counterterms that arise in
renormalizing these vertices in one-loop order. The amendment of the
renormalized vertices impacts the spin-independent direct detection
cross-sections of the scattering of nucleons with dark matter. We perform a
comprehensive numerical scan over the parameter space where all the points
satisfy the present B-physics constraints and accommodate the muon's anomalous
magnetic moment. Finally, we exemplify a few benchmark points, which indulge
the present searches of supersymmetric particles. After including the
renormalized one-loop vertices, the spin-independent DM-nucleon cross-sections
may be enhanced up to $20\%$ compared to its tree-level results. Finally, with
the NLO cross-section, we use the recent LUX-ZEPLIN (LZ) results on the
neutralino-nucleon scattering to display the relative rise in the lowest
allowed band of the Higgsino mass parameter in the $M_1-\mu$ plane of the
electroweak MSSM.
