“Bagla” usually means “bridle” or “rein,” while “Mukhi” implies “confronted” or “going through.” The name Baglamukhi symbolizes her energy to restrain or Command destructive forces and enemies. One more etymology indicates that valga means "to paralyze" and symbolizes the power of stambhana, "paralysis" which the goddess is said to grant; https://www.youtube.com/shorts/5VeSyP9JRw0