  In this paper we studied a one-dimensional array of quantum emitters
asymmetrically coupled due to chiral interaction through a waveguiding mode. We
have showed that disorder and coupling asymmetry compete with each other in
forming and destroying Anderson localized states. We found that for wide range
of the disorder strength there exists certain asymmetry parameter, which
destroys the localization of the states. We have also numerically obtained the
dependence of the critical asymmetry strength on the amplitude of the disorder.
We believe that our findings are important for rapidly developing field of
waveguide quantum electrodynamics, where the chiral interactions and disorder
play a critical role.
