If the news bothered you that much every day then perhaps it would be a problem, but such at upsetting story sticking with you on one night isn't so unusual I don't think.
I can remember watching a news report about the earthquake in Haiti, and crying while I watched it, because they showed a group of elderly people who had been saved from a hospital for people with dementia, and they were sleeping on the streets under a little canvas, without their medication and they were frightened and confused, asking to go home.
The people with them, workers from the hospital, were saying that they had little food and no medicine and that if they didn't get help, food and medication soon, their patients would die.
I was heartbroken just thinking about these poor people, who couldn't understand what had happened or why they were suddenly on the streets and just wanted to go back to a familiar place and be safe.
Three years later and I still think about those people whenever the earthquake is mentioned. I hope they were alright, but I doubt it. There was a report about the earthquake one year on and it looked like many people were still on the streets under canvas, but I doubt that group survived the year.
Sometimes something like this just pushes your empathy button and it does stick with you. I think your reaction sounds normal, it would only start to be a worry if it stopped you sleeping every night from now on.