Speaking from personal experience, internet relationships can be quite a lovely thing. The internet can bridge all sorts of gaps in geography and culture.
My relationship began about five and a half years ago in a chat room. The person I met lived in an entirely different country from me, but we spent months talking and getting to know one another, we finally met, she moved in, the US government said they didn't want her, she moved out, I moved to Canada, we got married, we have a daughter and we've been together ever since.
Online relationships do work. They just require your diligence and patience. Well, pretty much all relationships do.
Don't worry about things too much. Realize that people have lives and, as much as you might be an important part of it, other things also affect their lives. If your partner is very busy, he will only be too happy to get back to you as soon as he can.
And, hey, if you're not meant to be, then the beauty of the internet is that you have 20,000,000 other fish waiting in the virtual sea. LOL