I like this girl I've been talking to on the Internet a

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I like this girl I've been talking to on the Internet a lot. We're pretty close friends at this point, talking every day and playing games together.

However, she's an incredibly damaged character who had an unfortunate upbringing and a lot of unsuccessful relationships. Her social anxiety is crippling--she's spent the past few years in near isolation so getting her to meet with me is going to be DIFFICULT. I feel like I should be the best friend I possibly can first to build trust, although under normal circumstances this would only get me friend zoned.

My criteria for girls is really strict so I don't want to give up. I really want to try and make her go on a date with me at least once. Any advice?