Amensalism,　a　rare　yet　impactful　symbiotic　relationship　in　ecological　systems,　is　the　focus　of　this　study.　We　examine　a　discrete-time　amensalism　system　by　incorporating　the　fear　effect　on　the　first　species.　We　identify　the　plausible　equilibrium　points　and　analyze　their　local　stability　conditions.　The　global　attractivity　of　the　positive　equilibrium,　E∗,　and　the　boundary　equilibrium,　E1,　are　analyzed　by　exploring　threshold　conditions　linked　to　the　level　of　fear.　Additionally,　we　analyze　transcritical　bifurcations　and　flip　bifurcations　exhibited　by　the　boundary　equilibrium　points　analytically.　Considering　some　biologically　feasible　parameter　values,　we　conduct　extensive　numerical　simulations.　From　numerical　simulations,　it　is　observed　that　the　level　of　fear　has　a　stabilizing　effect　on　the　system　dynamics　when　it　increases.　It　eventually　accelerates　the　extinction　process　for　the　first　species　as　the　level　of　fear　continues　to　increase.　These　findings　highlight　the　complex　interplay　between　external　factors　and　intrinsic　system　dynamics,　enriching　potential　mechanisms　for　driving　species　changes　and　extinction　events.　©　2024　American　Institute　of　Mathematical　Sciences.　All　rights　reserved.