“Bagla” implies “bridle” or “rein,” though “Mukhi” signifies “faced” or “going through.” The identify Baglamukhi symbolizes her power to restrain or control destructive forces and enemies. An additional etymology suggests that valga indicates "to paralyze" and symbolizes the strength of stambhana, "paralysis" the goddess is claimed to grant; this theory https://www.youtube.com/shorts/5VeSyP9JRw0