Episode 2 of "My Dearest Nemesis" kicks off with an intriguing scene where Ju-yeon, mid-change in his office, discovers to his chagrin that Su-jeong is none other than the director's killer and the hit-and-run victim. Her sudden intrusion catches him off guard, prompting him to swiftly silence her astonished scream. In an uneasy yet firm tone, he insists on erasing the incident from their minds and promptly ushers her out, warning her with a stern warning that this is her one and only chance. Determined to keep a close eye on her, Ju-yeon harbors a sweet tooth but maintains his professional demeanor by venturing outside to the square for a chocolate latte. To his surprise, Su-jeong appears again, attempting to buy him one. However, evading her gesture, he dashes off, only to find himself entangled in a scuffle with a child over a sought-after limited-edition toy. Su-jeong's reappearance forces him, albeit reluctantly, to surrender the toy to the child.
Convinced that Su-jeong's knowledge of three of his secrets poses a threat, Ju-yeon resolves to eliminate her from his life. Chief Kwon's reminder that terminating her isn't an option spurs him to devise a plan to make her life so unbearable that she'll voluntarily resign. In the subsequent meeting, he relentlessly targets her, yet she deftly parries his blows. Her senior berates her for not maintaining a low profile, branding her as an overzealous "dog" for her relentless work ethic. Unyielding, Su-jeong refuses to bow to anyone, though she's visibly weary from the ceaseless onslaught by Ju-yeon and her senior.
Elsewhere, Ju-yeon orchestrates a scheme involving Shin-won, tasking him with infiltrating the team to uncover dirt on Su-jeong. However, Shin-won's romantic entanglements complicate matters; he's dating a possessive girlfriend who tolerates not even the hint of his attention towards other women. When a waitress flirts with him, his girlfriend demands they find a new restaurant. On his search, Shin-won stumbles upon Ultimate Pro's restaurant on Instagram, captivated by the amusing captions accompanying her posts.Ju-yeon storms into the team dinner, promptly challenging Su-jeong to a drinking duel. Kwon insists everything is hunky-dory and the others disperse, leaving with her. In Su-jeong's mind, Ju-yeon harbors resentment towards her relentless work ethic. Conversely, he harbors admiration for her dedication but views her as a powder keg ready to explode. His intoxication deepens, and he utters a whimsical request for chocolate milk. Amused, Su-jeong grants his wish and ensconces him into a taxi bound for home. Upon returning to her own abode, she discovers her father still toiling away, a poignant reminder of their financial struggles that once left them unable to cover her mother's hospital bills.
The following morning, Ju-yeon awakens sheepishly, haunted by his defeat at Su-jeong's hands. His grandmother's inquisitive call serves as a stark reminder; she warns him not to repeat past disappointments, evoking a haunting flashback where she scorched a cherished possession of his in retaliation. Kwon seeks to assure him, boasting his own sobriety and impending favor in their grandmother's eyes.
Back at headquarters, whispers swirl among the team about Su-jeong's triumph over Ju-yeon. His pride bruised, Ju-yeon's public persona tarnished, he lashes out in disdain, underestimating her worth. This goads Su-jeong to her breaking point, and words escalate into a heated confrontation, culminating in her daring him to terminate her employment. Kwon steps in, cautioning Ju-yeon against further escalation, hinting at potential repercussions. Meanwhile, Yang, another team member, cautiously alerts Su-jeong to a rumor circulating about Ju-yeon's hidden status as the company heir.
Frustrated by the altercation, Ju-yeon seeks solace and advice from Shin-won, only to find out that his insights amount to acknowledging Su-jeong's relentless hard work. Determined not to be dismissed, Su-jeong resolves to gather dirt on Ju-yeon to safeguard her job. She trails him after hours to Rock Man Studio, a rock club, where she's taken aback by his carefree, almost human, demeanor. Nevertheless, she stealthily snaps a photo and sends it his way. Within moments, Ju-yeon bursts into her apartment, a picture of frenzy and perspiration.
Her father harbors the misconception that they are an item, unaware that Ju-yeon is bound by a contract. This pact promises her job security in exchange for erasing his photographs and being at his beck and call, without question. She readily appends her signature, albeit intrigued by his apparent disdain for her name upon doing so. Buoyed by a newfound sense of security, she boasts about it at the office. However, her elation is fleeting as Ju-yeon's incessant calls and demand for her constant companionship encroach upon her space. Claiming distrust, he insists on supervising her every move, even accompanying her on shopping excursions.
As she stands mesmerized by an outfit he once wore, he decides to adopt it for the evening's soiree. Additionally, he rents a gown for her and forces her attendance, never ceasing to remind her of his lack of trust. Elsewhere, Shin-won arrives at Ultimate Pro's restaurant, narrowly escaping a bicycle collision. Ultimate Pro's swift intervention astounds him, showcasing her remarkable strength. His girlfriend catches sight of them, souring their date with jealousy. Annoyed by his affability towards others, she erroneously assumes infidelity and decides to end their relationship. Shin-won, hoping for her happiness, is met with derision as she departs. He frets about being expelled from Ultimate Pro for perceived cheating, to which she calmly replies that only those who actually cheat deserve such a label.
Returning to our central duo, a gathering of chaebol heirs is in full swing, where Ju-yeon encounters his bullies. They mock his upright demeanor and harsh grandmother, pondering whether he even possesses a girlfriend. Meanwhile, Su-jeong wanders in search of sustenance when a chaebol heir, mistaking her for a prostitute, attempts to accost her. Furious at her rejection, he lunges to strike her, but Ju-yeon intervenes, hurling the man into the pool before seizing Su-jeong's hand. As My Dearest Nemesis Episode 2 concludes, he affectionately dubs her "babe," setting the stage for an intensified entanglement.