@Serkket
Still doesn't solve the root problem.
What if he dies by the monsters somehow? The poor then still starve. What if he overhunts the low lvl monsters? Will something that depend on them for food move onto humans instead? What about other adventurers who can only lvl up by taking the low lvl quests and aren't ready for the higher ones yet?
What if the poor come to depend on the hero for food? Does he then take the burden of feeding the poor for the rest of his life in that world? What about the poor elsewhere? What makes the poor in this city more deserving of his help than the poor somewhere else? What if the poor from other places migrate to this city because of what he's doing? How will the city handle the strain? And for that matter, how many will die on the roads for the promise of free food?
Poverty is quite difficult to solve, without understanding the underlying reasons. Take the US Rust Belt for instance and look into the underlying causes.