You can be traditional and still accept other cultures even if they don't align with your values. But tradition isn't to be conflated with extremism. That's fine, there is a place for tradition and people come in all shapes in sizes. Your question mentioned he is traditional. I actually think this is applicable across all kinds of relationships, not just romantic ones could be work or friends as well.
I can't offer you specific advice - but people that attempt to change you to fit their standards, without acknowledging your values and culture are a red flag to begin with.