The Headgear used to manage a horse is called a bridle. Hence Baglamukhi indicates the Goddess that has the power to control and paralyze the enemies. Due to her capturing and paralyzing powers She's also called Devi of Stambhana (स्तम्भन). There is an additional Tale which says a demon identified https://www.youtube.com/shorts/4Hgw2snZ-tE