Like sillygirl said, sometimes there isn't really a way to get some people to think your way. At least you can count your blessings that so many of your family members are supportive of you although your mom and dad and sister are hesitant. Maybe if you convince your sister to be happy for you, it'll be more pressure on your parents to accept the relationship.
Cross cultural relationships are seldom easy, but it's important to remember that your relationship is for yourself [a lot of people on this board will say this, it's a common theme], not your parents. Best of luck.
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-poor is the man whose pleasure depends on the permission of another-
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