The semi-local convergence analysis of a well defined and efficient two-step Chord-type method in Banach spaces is presented in this study.The recurrence relation technique is used under some Consumer DNA Test weak assumptions.The pertinency of the assumed method is extended for nonlinear non-differentiable operators.The convergence theorem is also UTI CLEANSE established to show the existence and uniqueness of the approximate solution.A numerical illustration is quoted to certify the theoretical part which shows that earlier studies fail if the function is non-differentiable.