Despera stops a Horde Trooper from killing a woman and child, because they were to be taken to Shadow Weaver for readjustment. You see men in shackles too. I believe the voice over/thoughts of Despera are explaining that people should only be killed if they are fighting/opposing the Horde...not average citizens. In her next appearance she beheads a guy...because he was there? That doesn't add up to her thoughts
"Discipline and Clarity. Without them, power is blind and dumb. With them, it is invincible. Power must be used in service of something. Control."
Now, the only explanation could be: when the Horde crash-land on Eternia, it was like a meteoroid hitting the Earth causing fire, devastation, etc. Those kids were burned to a crisp and the man was dying. Beheading him could have been a mercy kill. Still, that scene was just put in the comic to be shocking/disgusting/gross. So far, not happy with the "graphic deaths = good story telling" mentality...because it doesn't.
Telling a GOOD STORY = good story telling.
Hopefully we get that, because the Despera digital issue (minus the inexcusably horrific and throw-away treatment of Flutterina), was amazing!