The headgear employed to manage a horse is referred to as bridle. Hence Bagalamukhi implies the Goddess who may have the power to regulate and paralyze the enemies. Due to her capturing and paralyzing powers She's often called Devi of Stambhana (स्तम्भन). Goddess Baglamukhi carries a cudgel in her https://youtu.be/AaJ2IkaqQUY