“Bagla” implies “bridle” or “rein,” when “Mukhi” indicates “faced” or “going through.” The title Baglamukhi symbolizes her ability to restrain or Handle adverse forces and enemies. One more etymology indicates that valga indicates "to paralyze" and symbolizes the strength of stambhana, "paralysis" that the goddess is alleged to grant; this https://www.youtube.com/shorts/5VeSyP9JRw0