Pushing for ‘skinship’ or something more intimate too soon will cause her to doubt your intentions.
If you are a white, young, and somewhat handsome, male then a lot of Korean girls will quickly and automatically judge you as some sort of playboy or womanizer.
Take her family seriously and respect the rules of her house. Also, if you do meet her family, you’d better dress your best and be prepared to speak some Korean.
Even a few Korean words is enough to help win them over.
But when dating foreigner, they may want to test the waters about what the parental reaction will be before they decide on dating or marrying a foreigner.