“Bagla” implies “bridle” or “rein,” while “Mukhi” means “faced” or “struggling with.” The title Baglamukhi symbolizes her electricity to restrain or control damaging forces and enemies. One more etymology implies that valga indicates "to paralyze" and symbolizes the power of stambhana, "paralysis" which the goddess is said to grant; this https://www.youtube.com/shorts/5VeSyP9JRw0