I'm in a similar situation right now, almost identical actually, and I wonder sometimes if it's because of a loss of interest.
Like you, it makes me happy to think about her and talk to her. Knowing that she and I have that connection that's as strong as it is makes it more comfortable to me (and her) that she is as far away as she is. At first her being away was a little difficult but you get used to these things and accept them and become more comfortable with the situation.
I think you'll be ok with K
