Don't cut her off, everyone has their reasons. Why not just call and speak directly about how you're feeling.
You don't always need to meet and catchup so often if you're really good friends with someone. Understand that each other have their own lives.
Maybe as you say if your attachment style that makes you feel like that, so perhaps it can't be helped, but at the same time, we are all moving towards our happiness, whether it be in our careers or in our relationships. Wouldn't you like for your friend to be happy and find someone that she really loves instead of making her feel guilty and only thinking about yourself.