The $1994$ first discovery of a metal-insulator transition in two dimensions and series of $1997-1998$ experiments on two dimensional metal-insulator transitions in various samples of MOSFETs changed the paradigm of Anderson localization that metals cannot exist in two dimensions. Unfortunately, this delocalization physics of the diffusive regime does not apply to the effective hydrodynamic regime of quantum criticality. In the present study, we investigate effects of mutual correlations between hydrodynamic fluctuations and weak-localization corrections on Anderson localization, based on the renormalization group analysis up to the two-loop order. As a result, we find that the absence of quantum coherence in two-particle composite excitations gives rise to a novel disordered non-Fermi liquid metallic state near two dimensional nematic quantum criticality with nonmagnetic disorders. This research would be the first step in understanding the $T-$linear electrical resistivity as a characteristic feature of non-Fermi liquids and the origin of unconventional superconductivity from effective hydrodynamics of quantum criticality.
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