  The static local-field factor (LFF) of the 2-D electron fluid is calculated
{\it nonperturbatively} using a mapping to a classical Coulomb fluid
$\lbrack$Phys. Rev. Lett., {\bf 87}, 206$\rbrack$. The LFF for the paramagnetic
fluid {\it differs markedly} from perturbation theory where a maximum near
2$k_F$ is expected. Our LFF has a quasi-linear small-k region leading to a
maximum close to 3$k_F$, in agreent with currently available quantum Monte
Carlo data. The structure in the LFF and its dependence on the density and
temperature are interpretted as a signature of correlated scattering of
electron pairs of opposite spin.The lack of structure at $2k_F$ implies
weakened Friedel oscillations, Kohn anomalies etc.
