Would you date someone who kept you a secret from their family?

Hi all. I (25 F) have had quite a lot of trouble in the past with relationships. My family is old fashioned and Muslim. I've explained that I don't want to be with a Muslim man as I'm not religious but they have a hard time accepting it. When I date men that are not Muslim, they are often accepting up to a point. The moment they know I'm in a relationship they start asking me questions like "why were you out so late?" And they seem to be very against the idea of dating without the immediate push towards marriage. This has put a strain on relationships. I, and the men I see, dont want to get married after the first date. Lol.
So I've started dating men without my family knowing. It's quiet recent and none of these men have been serious, but I do want a serious relationship in the future. I want a long term commitment. I feel like my family, in the past, have been the reason I haven't been in a relationship longer than 3 months. Theyre pushy and they tend to freak guys out. Especially guys who are not accustomed to our cultural aspects like that sex before marriage is bad.

If you were my partner, would you be upset if I didn't introduce you to my family within the first year or two years that we're dating? If you knew that I was doing it for the sake of our relationship and to protect you from my pushy, needy family?
Would you date someone who kept you a secret from their family?
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