you know what i used to do? i always found it very hurtful to know of terrible things ocurring in the world. so to avoid the emotional pain, i would selfishly just tell myself "i don't care about that", or "yeah they deserve that". i would repeat this in my head as much as i needed to, until i started to somewhat believe it.
i hate myself.
if you're a sensitive person, don't be ashamed into hiding it. cowardice is not a fix.