Magnetopause standoff distance (R_msd/R_p) of TRAPPIST-1e under four different stellar wind conditions: sub-Alfvénic (a), transition (b), super-Alfvénic (c), and CME-like (d). Each panel shows R_msd as a function of planetary magnetic dipole strength (B_p = 0.32, 0.64, 1.28 G) for three magnetic axis tilt angles (0°, 23.5°, and 45°), with solid lines representing simulation results and dashed red lines indicating values predicted by the theoretical expression. In all scenarios, R_msd increases with B_p and decreases with magnetic axis tilt. The transition case produces the largest magnetospheric extension, while the CME scenario exhibits the most severe compression, with R_msd approaching ~1.5 R_p under the most unfavourable configurations, implying strong limitations on potential habitability.