  Multiple unconventional superconducting phases are suspected to be driven by
magnetic fluctuations in the heavy-fermion paramagnet UTe$_2$, and a challenge
is to identify the signatures of the electronic correlations, including the
magnetic fluctuations, in the bulk physical quantities. Here, we investigate
thoroughly the anisotropy of the electrical resistivity of UTe$_2$ under
intense magnetic fields up to 70~T, for different electrical-current and
magnetic-field configurations. Two characteristic temperatures and an
anisotropic low-temperature Fermi-liquid-like coefficient $A$, controlled by
the electronic correlations, are extracted. Their critical behavior near the
metamagnetic transition induced at $\mu_0H_m\simeq35$~T for
$\mathbf{H}\parallel\mathbf{b}$ is characterized. Anisotropic scattering
processes are evidenced and magnetic fluctuations are proposed to contribute,
via a Kondo hybridization, to the electrical resistivity. Our work appeals for
a microscopic modeling of the anisotropic contributions to the electrical
resistivity as a milestone for understanding magnetically-mediated
superconductivity in UTe$_2$.
