Hello,
I read your post with great interest and attention and would like to suggest the following.
It is obvious for her to be attached to her family and Im glad to know that you are supportive of it.
Give this relationship some time and let her make up her mind on this. If she decides to come over to the US then things will be back on track, but if (I hope not) it is negative – then try to speak to her to understand how much she wants to stay. And if it turns out that she really has made up her mind, then its better to move on and end this one beautifully.
Hope this helps.
Ashley