The non-linear cosmic web environment of dark matter haloes plays a major role in shaping their growth and evolution, potentially also affects the galaxies that reside them. We develop an analytical (halo model) formalism to describe tidal field anisotropic halo-centric density distributions, as characterised by tensor $\langle T_{ij} \rangle(<R)$ spherically averaged on scale $R\sim4R_{\rm vir...