A better detailed understanding of HOW things, and WHY they happen in a different culture.
It'll expand your understanding of your own culture, by showing you different perspectives on similar issues.
An inclusive mindset, looking for ways to connect with very different people.
Now I'm rereading it, I'm wondering did you mean Problems, instead of Consequence? If so then:
It's fairly easy to fall back into Ethnocentrism, and warp true-conclusions, into a false-premise.
You could be Rigid about Cultural Relativism, which is kind of like trying to fit a square-peg through a round-hole, it'll create issues.(it's what Americans/English culture struggles with, they're still stuck in the early-20th Century, but they act modern, that's why now the climate is a little more hostile in both Nations, all the advances in social-equality, in social-development are vaporizing before our eyes).
And the final, disagreement, relativism is alright with people disagreeing, people of course are usually less good at 'agreeing to disagree'.