Thank you for sending your question to AlterHeros. I think you are asking about what to do when you’re girlfriend’s parents do not accept her choice to date a girl. You aren’t sure if you want to still date her and you are worried your relationship will cause havoc in her family.
First of all, you have to talk to your girlfriend about this. This may be her first or one of her first relationships. But whether she comes out to her family is entirely her decision. Not everyone comes out. Some people will never be out at work, or to their grandparents. Some people never come out even to the closet at all! Everyone will come out as far as they are comfortable and it may take years between stages. It sounds like your girlfriend is out to her family but they have not accepted it yet. This might make things difficult, especially since your girlfriend is a minor. Her mother may forbid her from going to your house or ask her not to hold your hand in public. You need to find out what restrictions her family is going to impose on her and whether your girlfriend is willing to risk the relationship that she has with her family in order to date you. You also need to decide for yourself if you are willing to date someone who might not be out to everyone. And most importantly, you need to talk to your girlfriend about all this; after all it’s her family in question.