Salam,

Thank you for trusting me with your question. I am sorry you are having a hard time with your family. Unfortunately, these myths about Islam can be hard to overcome because they are so ingrained in the Western thinking. It also does not help that some Muslims do oppress women in direct contradiction to what Islam teaches. 

What I recommend is that you ask them to look to the source of Islam and not what some Muslims do. Ask them why it is that the largest group of people coming to Islam in the fastest growing religion on earth are Western women if Islam oppresses women. Ask them to tell you how they see Islam oppressing you. And ask them to be specific. And them be there, full of patience and love, to answer them. 

Know for sure that they are coming from a place of love and concern for your well being. Know that unlearning misinformation can take time. But if you are patient and loving with them and help educate them, they will shed this idea about Islam.

There is are many great resource on the topic of the status of women in Islam here on About Islam for you and your family to check out. This page in particular can be a resource to you to answer your family’s questions. And if you wish, you can send them this Ted Talk that addresses women’s status in Islam. 

I hope this helps. 

Salam.