The headgear applied to manage a horse is called a bridle. That's why Baglamukhi usually means the Goddess who has the power to control and paralyze the enemies. Resulting from her capturing and paralyzing powers She's also called Devi of Stambhana (स्तम्भन). ॐ ह्लीं बगलामुखि सर्वदुष्टानां वाचं मुखं पदं https://www.youtube.com/watch?v=zno_HR0tkcs&t=2s