Perhaps a slightly less doom-and-gloomy scenario (because not all muslims hate women): in many muslim cultures it’s expected that a relationship turns into a marriage quickly. A non-muslim colleague of mine started dating a muslim girl and her family was totally supportive of the relationship, but he did have to marry her within just a couple months of dating. They were both happy to do so but they’re a fair bit older than you are. Your girlfriend might not feel ready for such a thing.

Talk to her about it, and ask if she’s worried about her family’s reaction, what she expects and why. Don’t pressure her into introducing you to the family, but clarify that you’d just like to know why. You can express you’d like to meet them of course, but just remember that her decision should be final in all this. That will help your relationship going forward, and once she is ready for it you’ll get to meet them.