The headgear employed to manage a horse is called bridle. As a result Bagalamukhi indicates the Goddess who's got the facility to manage and paralyze the enemies. As a result of her capturing and paralyzing powers She's also known as Devi of Stambhana (स्तम्भन). Goddess Baglamukhi carries a cudgel https://youtu.be/AaJ2IkaqQUY