Don’t worry, what matter the most is you and her, not your family. It’s her and you going to spend life together, not her and your family. So stop stressing out.
this can be a great reason that you want to move out of you family because they might not accept her. Once you guys have children then you want to visit your family.
when living abroad visiting often not only can be costly but if she is working she can risk her job. After all she has to support you when you go then until you stand on your feet.
If you are faithful in your relationship, trust on Allah, that Allah will make ways and all will go well.
so take a deep breath and do dhikr of Allah.
It would be better that she bring her daughter in next visit. So she can get to know you as a father figure. She can even write a letter for you to the CO.