This could apply to the comics and/or the TV show, but I believed in the show Jessica gave up being a super hero after killing Reva - is this the same in the comics?
It's similar in the comics and the show, but the details are different.
In both cases, Jessica has taken on her superhero persona (Jewel) and started acting as a costumed hero when Kilgrave runs into her on the street and realizes what she can do. He keeps her captive for several months, forcing her to use her powers for his benefit.
In the comics, Kilgrave sends her out to track down and kill Daredevil, but he's distracted at the time and gives her very vague instructions. She runs into Scarlet Witch, in her red costume, and attacks. The attack seems to snap her out of it, but the Avengers attack anyway. Eventually someone (I think Captain Marvel) figures out that she was under some kind of mind control, and call in Jean Grey to fix it. At that point, they invite her to join the Avengers but she decides to retire.
In the show, they obviously couldn't use the comics story for a number of reasons: Jean Grey is a Fox property, Carol Danvers hasn't been introduced yet, and Jessica Jones seems to take place before Age of Ultron, meaning Wanda Maximoff is still under HYDRA control. Instead, Jessica breaks free on her own after killing Riva and developing an immunity to Kilgrave's control.
In both cases, though, the general concept is the same: Kilgrave sent her out to do something that was so terrible, she breaks Kilgraves control. By then she's so disillusioned with her brief and failed superhero life that she gives it up.
In both the comics and the Netflix series she is just barely starting to experiment with the idea of being a costumed hero when she encounters Killgrave. After the psychological trauma of being his pawn she decides to give up being a superhero.
The intensely violating nature of her experience with Killgrave, and the fact that she was barely noticed missing for eight months, prompted a demoralized Jones to give up her costumed superhero life.- The dubious Wikipedia, citing Alias #25-26
Since it was her superhero activities that brought her attention to Killgrave, she likely sees it as a way to draw unwanted attention to herself.