Iman Avesta

Special Agent Iman Avesta was a member of "the Agency" and an employee of Amanda Waller. A fan of Batman, she got to meet the vigilante in person when she was selected to help find and dismantle a criminal organization called the Pact. However, after being held hostage by one of its members, the Riddler, Iman suffers the consequences of one of Batman's actions.

Biography
Iman Avesta was born and raised in Gotham. She stated that her father owned a corner store in the shadow of Gotham Stadium, where she spent most her childhood. Eventually joining the Agency, she was assigned to become the field analysis for one of their subjects, the Riddler. She, along with her partner, Vernon Blake, would track down the criminal to various places, such as Sudan, before finally catching up to the criminal in Gotham.

The Enigma
Iman was first introduced to Batman during the clean up of an attack on the Virago, a casino owned by arms dealer Rumi Mori. She handed a psychological file to him, asking to provide her with information about why the criminal had carried out the attack. Avesta also asked Batman whether he was interested in the criminally insane, recording his reply within a profile she was making for him.

The next morning, she and Blake visited Bruce Wayne's office, hoping to speak to the billionaire about a person of interest. As she prepared to knock on the door, it opened to reveal the billionaire and Lucius Fox. Whilst Fox left to investigate something for Wayne, Avesta and Blake interviewed the billionaire about his connections to Doe, as well as his association to other criminals, such as Lady Arkham, the Penguin and Two-Face. As she accused him of being a criminal, Wayne's reply was interrupted by a safety alarm. At Bruce's suggestion, she and Blake left. They were unaffected by the explosion.

Nearly two weeks later, Avesta, Blake and two other Agency operatives received information that the Riddler was operating on a barge called The Lady of Dublin. Though she was reluctant to investigate without backup, Blake talked her into it, resulting in their capture. Iman was held in the center of the ship and was the first hostage Batman tried to rescue when he attacked. However, shortly after being freed, the floor beneath them dropped and they were placed inside a giant cage. The Riddler appeared and revealed that he had created a special game for Batman, having heard about the vigilante's reluctance to kill or let innocent people suffer. He asked Batman to solve three riddles, each of which were easy and would, if answered incorrectly, result in an agent's death. However, for each time Batman got a riddle correct, he and Avesta would be bombarded with ultrasonic blasts. Knowing that she would likely die after three, this game was to force Batman to save three agents' lives at the cost of one's. Depending on Batman's decisions, two possibilities will happen.

 Comply=Batman complies with the Riddler's game, answering two of the three riddles correctly. Knowing that he will find a way out, Avesta distracts the criminal long enough for Batman to figure out a way to escape the cage. Upon realizing what is happening, Riddler sends the third ultrasonic blast, stunning them, but Batman is able to put himself and Iman into her former cage, protecting them from a missile he tricked the device into firing. Iman watches as Batman defeats the Riddler and saves Gotham by redirecting the missiles into the Gotham river. As she thanks him for saving her and her colleagues, she realizes she is deaf when she can't hear either her own voice or Batman. The vigilante can reassure or embrace her. 
 * -|Refuse=Batman refuses to comply with the Riddler's game, allowing one or two agents, including Blake, to be killed. Knowing that he will find a way out, Avesta distracts the criminal long enough for Batman to figure out a way to escape the cage. Upon realizing what is happening, Riddler sends the third ultrasonic blast, stunning them, but Batman is able to put himself and Iman into her former cage, protecting them from a missile he tricked the device into firing. Iman watches as Batman defeats the Riddler and saves Gotham by redirecting the missiles into the Gotham river. Following this, she mourns the loss of Blake and/or the other agent, blaming herself for what had happened.

Personality
On the surface, Iman seemed to be friendly and was able to sympathize with other people. She seemed to have an interest in psychology, particularly both the Riddler and Batman's. However, she was willing to make accusations to learn more about a person, as she did with Bruce Wayne. When her fellow agents' lives were on the line for hers, Iman asked Batman to go along with the Riddler's twisted game, even though it meant that she would die in the process. If he did so, she will show her gratitude, but will be traumatized by the loss of her hearing. However, should Blake or another agent die, she showed signs of survivor's guilt, believing that she could have been able to stop them from investigating.

Bruce Wayne/Batman
Avesta claimed to be a fan of Batman, though it's unsure whether this was just a claim Waller had told her to make. She was grateful when the vigilante saved her and her fellow agents from one of Riddler's traps, going as far as thanking him for doing so. Even if Batman refuses to go along with the Riddler's game, resulting in one or more of her fellow agents deaths, she seemed not to blame him, though it is unclear whether she has some antagonistic feelings towards him at this moment in time.

Iman seemed only to have a professional relationship with Wayne, asking him only relevant questions. She was also willing to accuse him of being a criminal, due to his father's tainted legacy and ties with other known criminals like Lady Arkham and Two-Face.

Vernon Blake
Avesta and Blake were co-workers and partners in the agency, having worked together to locate the Riddler. She seemed to trust him, listening to his advice to check out the criminal's ship without calling for backup. After Blake's death at Riddler's hands, she would blame herself for listening to his advice and getting him killed.

Trivia

 * Iman is an Arabic name, translating roughly to "faith" or "to be faithful", whilst Avesta comes from Zoroastrianism, a religion popular in the middle east, the name for the religious texts of the religion. This implies Iman may have heritage in the Middle East.