Yes, if you want a relationship with this woman, you need to meet and talk to her in person, get to know the real her or your spats and jealousies are just imaginary too (since both of your characters are). Make something real of this relationship, even if it ends up not being what you imagined or hoped for. The problem with online relationships is that your head can turn them into anything at all as there are no real boundaries imposed by another real person.