The headgear applied to control a horse is called bridle. For this reason Bagalamukhi indicates the Goddess who's got the power to control and paralyze the enemies. On account of her capturing and paralyzing powers She's also referred to as Devi of Stambhana (स्तम्भन). Goddess Baglamukhi carries a cudgel https://youtu.be/AaJ2IkaqQUY