I think she is infatuated with you... which would be normal if you two had been seeing each other in person during the two months... but she has never met you in person. So having infatuation this quickly based on relatively little information makes me wonder about her impression of you. You may be one kind of person and she's imagining you being another kind.
With this in mind you can make the decision to meet her and see if she'll like the 'real you' or not... or you can decide that she may be too disappointed that you didn't measure up to her fantasy and forgo the meet up.
The choice is yours...
"The weakest soul, knowing its own weakness, and believing this truth that strength can only be developed by effort and practice, will, thus believing, at once begin to exert itself, and, adding effort to effort, patience to patience, and strength to strength, will never cease to develop, and will at last grow divinely strong."
- James Allen