A Certain Knowledgeable Wiki [Code Vader/Unknown Actor] (Wiki)

Bunny Headphones Girl

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Abilities

Level 4 Unknown (Mass Formation manipulation?)

Due to bunny headphones girl never explaining her esper power, there's no clear official explanation. The closest it's Tedashii's second analyst after his defeat at her hands. According to a younger pre dark may project Tedashii Hamasaki, and the fact she attended Kirigaoka Girls' Academy; prestigious academic school that focuses on improving students with rare abilities unlike Tokiwadai Middle School that aims to help girls with common abilities to a high level.
Bunny headphones girl is capable of giving something that doesn't have a mass, mass, and manipulate the given mass with what it's now made of. Virtually Once it takes shape and mass, she can wield a weapon made of the properties of substances that mass was produced from.
While Tedashii confirms she should be able to choose light as a target, Bunny Headphones Girl chooses to use sound. This is possibly the most accurate description due to Tedashii's success at analysis esper powers throughout the series, dark may project or not.

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Personality
As what showcases in her fight with Tedashii and Kuroyoru Umdori, bunny headphones girl has a typical generic high level esper personality, looking down on others who have lower levels such as a level 2 esper such as Kuroyoru Umdori. And not considering level zeroes worthy of her time like Tedashii Hamasaki. From her engage attacks to Tedashii, he easily read her face as someone who join Judgement to have an excuse to use their esper abilities in combat, to bypass Academic City's strict policy; (find an excuse to use their powers and stay stained to sleep at night by owning their demons in the name of justice)

Bunny headphones girl has also been shown to have a perverted side, flirting with and teasing both Tedashii Hamasaki and Kuroyoru Umdori. She seems to be very proud in the growth of her esper power and body taunting Kuroyoru Umdori to follow in her footsteps so she could grow to appeal just as her.

She also likes to show off and play around, these traits could have set herself to be defeated, if Kuroyoru had master her new Nitrogen bomber lance and if Tedashii's calculation analysis were sharply correct. It is highly suggest they would have defeated her.

Despite being as arrogant as she is, bunny headphones girl has shown to be an efficient combatant and even admits to her mistake once Kuroyoru Umdori had a clear shot in defeating her had Umdori didn't fail to execute her attack.

Relationships
As a minor character it is unknown of any major relationships however she displayed a keen interest and interaction with both Tedashii Hamasaki and Kuroyoru Umdori during their fight.

Kuroyoru Umdori
Bunny Headphones Girl found Kuroyoru the most interesting of the two, and share advice taunting her and lecturing her to listen to her seniors if she wants to improve in Academy City in both her powers and physical growth.

When Kuroyoru rebels against her philosophy, she deem her a lost cause. 

Tedashii Hamasaki

Bunny Headphones Girl showed no interest in Tedashii Hamasaki and immediately tried to defeat the latter so she could properly focus on Kuroyoru. Dude to possibly facing many Skill-Out gangsters, she presumably assumed Tedashii was one. Despite her lack of interest she found him at least entertaining enough to toy with and tease.
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Chronology

(A Certain Scientific Code Vader)
Tedashii Past Saga Arc
After stealing the UVA HERO III drone Tedashii and Kuroyoru crash into the public square, the two are immediately challenged and attack by the prestigious school girl, to Tedashii and Kuroyoru fears revealed to have been an esper.

The headphones girl immediately shows off her Judgement armband, and order them to surrender. Resisting arrest Tedashii and Kuroyoru headphones girl immediately quote a sentence of Judgement that effectively materializes into floating words. Besides the letters of Judgement the rest of the sentence collided into itself forming and materializing into an a clear mallet. She immediately attacks Tedashii and his hack remaining droids, making light work of him before taunting and teasing him, by towering over him. Tedashii immediately panics at the sight of her power and panties. She immediately assumes he is a Skill-Out thug offending the latter deeply.
Kuroyoru attacks her ordering Tedashii to focus however her attacks did the level 2 esper no good as the mallet allowed the bunny girl to attack with distance.
Bunny headphones girl assist she wait her turn commenting to saving her for last as she deem her far more interesting than Tedashii. After making light work of Kuroyoru she immediately quotes "mmhmm" crafting letters of 'M's to ensnarled Kuroyoru Umdori.
Bunny headphones girl began taunting Kuroyoru while she accidentally consumed nitrogen. Tedashii immediately stopped her tactics, and order Kuroyoru to remain focused for one more countermeasure. With an effective strategy and due to bunny headphones girl's underestimating the two espers, her guard is exposed leaving her open. However Kuroyoru miscalculated on the destructive force and Tedashii misinterpret the bunny headphones girl leading to their defeats at her hands.

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Quotes
A unique feature exclusive to bunny headphones girl is that some of her quotes are attacks. The bold statements are considered an arsenal to her moveset.

[BHG crafts embers of projectile sound letters and a huge signature weapon the double sound mallet. [Code Vader 27(part2]: "That's enough! Judgement is here to answer to the discrimination."

[Ibid: BHG telekinetic talks through her Mallet and attacks with a sound wave.]

[Ibid: presuming him to be a Skill Out gangster BHG informs Tedashii his path is pointless]: "Skill-Out? It won't work out for you delinquents, You'll never become special the way you are, so just give up."

[Ibid: BHG ensnares Kuroyoru Umdori with 'M's]: "♥ ~ Mm ~ hmm! ~ ♥"

[Ibid: BHG assist that Kuroyoru Umdori should follow in her footsteps if she wants to be accepted in Academy City by trying to grow just like her]: "It's bold to try but that won't ever make you big hun. You're a level 2 and will remain stuck at level 2 if you can't stick with the regiment. So it only makes sense you'll fall short to a responsible big level 4 such as myself."

[Ibid: BHG to Kuroyoru upon self improvement]: "C'mon. You know I'm right! Just look at the difference between myself and you. My mom told me to drink plenty of milk and see how healthy that paid off. You'll never impress that boy being as small as you are."

[Ibid BHG calling Kuroyoru a lost soul and promise herself to correct her]: "Spoken like a truly lost soul. Allow me to correct your path!"