Thhis show is rubbish (spoiler alert)

Were you not paying attention to the several episodes Jessica spent trying to get evidence of what Kilgrave could do in attempts to exonerate Hope?

Also, Jessica already carries an extreme level of guilt for the deaths in her life. I mean, no one sane wants to deliberately kill anyone, but having spent most of her life carrying guilt for the deaths of her family, then the horrific trauma of being made a willing slave, then the guilt of killing Reva, then the guilt of believing that murder is the reason she was free, then Kilgrave setting up the situation so she feels guilty for the deaths of Hope's parents and Ruben. It's not unreasonable that Jessica wanted to solve the problem and be the hero without killing. Plus (and I'm treading lightly here) victims of prolonged psychological and emotional torment and manipulation have complicated feelings toward their abusers. It's not as simple for her as it is for you.