From your post, I take it that you don't go out much or meet new people often. When one of your hobbies is playing games on the computer, it's hard not to find someone to like online. Starting anything with her is a bad idea. First, she lives far away, so you'd have to manage a long distance relationship, which is hard. Second, she is already in a relationship. Regardless of whether it is a good or bad relationship, it is not your call to break it up. It is up to her. If you try to persuade her to like you, she will get more confused. Third, there are most likely people closer to you who you haven't met and could potentially be great partners.