“Bagla” implies “bridle” or “rein,” while “Mukhi” means “faced” or “dealing with.” The title Baglamukhi symbolizes her power to restrain or Handle unfavorable forces and enemies. An additional etymology implies that valga means "to paralyze" and symbolizes the strength of stambhana, "paralysis" that the goddess is said to grant; this https://www.youtube.com/shorts/5VeSyP9JRw0