Survival is a very common theme. Given the post - apocalyptic setting of 'Z Nation', fanfics often revolve around 10k and other characters trying to stay alive among the zombies. They need to find food, shelter and avoid getting bitten.
There could be many interesting scenarios in such a fanfiction. Maybe 10k, with his survival skills from Z Nation, ends up in the Twilight universe and meets Bella Swan. He could help her in a different way from the Cullens, perhaps using his combat skills against some new threats in Forks.
I'm not sure if there is specific fanfiction about 10k being abused in Z Nation. Fanfiction can cover a wide range of themes, but this one might be a rather dark and not so common theme. It could exist in some corners of the fanfiction world, but it would also depend on the creativity and interests of the individual fanfic writers.
Some fanfics might put 10k in a different scenario, like he gets separated from the main group and has to survive on his own for a while. He might encounter a group of friendly survivors who have a completely different approach to survival than what he's used to. This could lead to some interesting character development as he adapts to their ways.
One potential impact could be that it makes some fans uncomfortable. Abuse is a heavy topic, and seeing a beloved character like 10k in such a situation might be distressing for many. On the other hand, it could also lead to in - depth discussions about the character's resilience and how he might overcome such situations, if the fanfiction is written in a way that explores recovery.
They could be friends. 10k, having seen so much death and chaos in Z Nation, might find Bella's somewhat normal life (despite the vampires and werewolves) refreshing. And Bella could be interested in 10k's tales of survival.