The woman at the center of one of the wildest videos from the New York Knicks championship parade has finally shared her side of the story. Days after footage of a bizarre altercation in Lower Manhattan spread across social media, the woman dubbed the "traffic light climber" posted an Instagram video insisting she isn't a bully and explained what led to the now-viral confrontation. "Everybody saying I'm a bully. I'm not a bully. That's not what I do," she said in the clip that can be seen below. "And let me make this very clear. No one's gonna bully me." The video she's responding to quickly became one of the most talked-about moments from Thursday's (June 18) parade celebrating the New York Knicks' first NBA championship in 53 years . The clip begins with the woman perched atop a traffic light pole as thousands of fans packed the streets around her. Another woman standing below eventually grabbed at her legs, causing the climber to come down from the pole. What happened next only added to the chaos.…