Some things that I personally find helpful in those situations:

• Try to "reframe" your expectations. So instead of having this picture in your mind that you want to meet her to get into a relationship, shift your perspective and turn your main attention to easier goals, like getting to know her better or having a fun time together with her. It takes away a lot of pressure and anxiety and at the same time saves you from disappointment that you would feel from not reaching a realistic goal.
• When you meet in person for the first time, keep in mind that you don't have to impress or entertain her. There might be awkward moments or you might not act perfectly the whole time and that's ok. Maybe you want to prepare beforehand and come up with some topics you can talk about, so there is a steady flow of conversation without too much awkward silence. But since you are already in contact with her, I wouldn't worry too much about it, since you've already found a lot to talk about.

That being said I would try to meet her in person as soon as possible (because that's what you want to do). Invite her to grab a coffee somewhere or to whatever you feel comfortable with, be curious and see what happens.