Sometimes, just sometimes, you just need to look at things a bit easy.
You two talk a lot together, you like her, she likes you? ASK HER OUT, MAN!
The pasts parents are completely different then the new age people growing up right now, the future is changing, with the youth of today and those being born in early 1980's and up.
The strong type deciding parents growing up from the 1960s and early 1970s will be gone in 10-30 years, or at least grown rather old.
You live one life, one life. God might be true, Allah might be true (or whatever religion you can think of), reincarnation might be true, but the life you have right now, in the body you are in right now, will only be lived once.
That's a firm fact if there ever was one, at least in my mind.
Act while you have this life, of course, don't act on stupidity, but act before you sit there as an old person, not knowing what happened to your life, because time moves by quickly.
That's my advice for you
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I don't like to throw around my personal life to strangers over the internet, even when anonymous, but you seem like a decent person so I'll just have a go for once.
I started talking to this lovely woman over the internet from halfway around the world two and half / three years ago.
Within months, I got on a plane, went to meet her and her parents.
Later she came back to my country with me to get a feel for how things are here.
Skip forward to today, we are married, living in my country, having a good and happy life together.
Her parents gave me their blessing to marry her, and that mean't a lot to me.
Sure, we argue once in a while and go a bit grrr at eachother, but most everyone does, it's part of life.
Though deep within our hearts we have such a strong love for eachother, that nothing, and no one, will tear apart.
Might sound a bit cliché, it's the reality for me at least.
I took a chance, it succeeded, sometimes it doesn't, but HEY, at least I gave it a try.
Aslong as one tries, one should not regret anything ... ANYTHING.
( Aslong as what you are doing isn't illegal! )