<p>This study presents an investigation of various responses in permeable tapered blood vessels featuring inclined stenosis, subject to the effects of oblique magnetic fields, thermal sources, and irradiation. The momentum and energy equations that regulate blood flow within inclined arteries have been derived, utilizing a Jeffery fluid model as the foundational basis for the analysis. These equations are streamlined under the presumption of moderate narrowing, devoid of dimensions. This study investigates the variations arising within porous, tapered arteries exhibiting inclined stenosis when subjected to oblique magnetic fields, irradiation, and thermal sources. The findings have significant implications for medicine, physiology, biophysics, and bioengineering: in medical physiology, they aid in understanding blood flow alterations in stenotic arteries under tilted magnetic fields and thermal effects, providing insights into related pathological mechanisms; in biophysics, they reveal the flow behavior of Jeffery fluid under coupled multi-physical fields, enriching the application of non-Newtonian fluid mechanics in biological systems; in bioengineering, they offer theoretical guidance for optimizing magnetic targeting drug delivery systems and for thermal-based vascular disease treatments. This study will not merely aid in gaining a profound comprehension of the physiological mechanisms underlying arterial function, but will additionally furnish novel concepts and approaches for preventing and managing cardiovascular diseases.</p>