One way is to focus on the moral aspects. The Christian values of love, forgiveness, and justice can be added to the characters' personalities without changing the overall plot too much. For instance, a character could show forgiveness towards an enemy, which is different from the usual revenge - driven actions in the God of War world. This would add a new layer to the character while still fitting into the existing lore.
By using symbolism. The cross, for example, could be used as a symbol of hope or protection in the fanfiction. It doesn't have to be a religious object in the traditional sense within the God of War universe but can be something that gives strength to a character. This way, Christian elements are added in a way that doesn't disrupt the original lore but rather enriches it.
Introduce Christian characters as outsiders. They can come into the God of War world with their beliefs intact. Their interactions with the native characters can then be used to explore the differences between the two belief systems. They can try to spread their Christian teachings in a non - intrusive way, like through acts of kindness and helping others, which would blend well with the existing lore of the God of War world.