If you decline her requests to see your phone, then you are automatically guilty as a womanizer.Don’t whine about it being your personal privacy, just hand over the damn phone. The act of allowing her access to your phone will go a long way in gaining her trust quickly and destroy her suspicions.
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.
If you are stubborn and insist on not showing your phone, she will eventually get her hands on it and check it whether you like it or not.
Some Korean women, especially older ones, tend to have a fantasy of meeting a foreigner and escaping patriarchal Korean society. You are clearly a more positive alternative than marrying a Korean guy and having to deal with an evil Korean mother-in-law or other intrusive family members.
They know as a foreigner in Korea you attract a lot of attention and they may assume that you must have many girls chasing you.
They will certainly start any relationship with suspicion. Early on, you may find that your new girlfriend will want to check your phone for evidence of you seeing another woman.
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.
They are checking to see if you are just looking for an easy girl.