This research is innovative in that it investigates the flow of a Maxwell nanofluid that exhibits non-Newtonian behavior over a horizontally stretching sheet, using a boundary layer medium and taking into account the Cattaneo-Christov model. Thermal radiation and the effects of fluctuating nanofluid conductivity with temperature on a stretched, linearly impermeable surface are also taken into account. The main topic of the research is the situation when the viscosity of the nanofluid changes with temperature. The group of differential equations that drives our proposed problem is highly nonlinear and is numerically solved by the shooting method. The results are given in accordance with graphs of a number of newly influential parameters against velocity, temperature, and concentration fields. Skin friction coefficient, Nusselt number, and Sherwood number, which are coupled to velocity, temperature, and concentration distributions recorded in tables, have been provided for a range of values of the regulating physical emergent factors. Some significant findings suggest that increasing the magnetic number, viscosity parameter, and Maxwell number results in decreased motion of the nanofluid, while concentration and temperature distribution increase. After completing our computations, we organized the findings and compared them to previous research. Our observation is that the proposed method's accuracy and reliability have been proven.