One similar question is How to clearly communicate that you're asking someone on a date?, but here my situation is noticeably different.
I am from India and many girls don't even know that there is a word called "date". Date is very unpopular in Indian culture.
I have a female friend that I've known for 2 years. We mostly communicate through WhatsApp, Facebook, etc. We know the western culture a bit more than other Indians do (we both study in local universities that have some western background, but nothing more than that).
I want to invite her to watch a movie or to go on a one-day trip.
This is a very uncommon invitation since in our culture two friends (girl and boy) never go watching a film together unless they are boyfriend and girlfriend.
I can directly ask it because we are very close. But if she really doesn't like it, our friendship will be damaged.
I don't want to make her uncomfortable and I don't want to damage our friendship.
So how could I ask her for a date without damaging our friendship and without making her uncomfortable?