Scared to tell my parents about my girlfriend.

How do I tell my parents about having my first girlfriend? My dad question me a while back as to if I talked to girls in my school, I don't know if that was cause he thought I was gay or what, I'm kind of a feminine guy, so I think my dad might be happy. But my mom has NEVER said anything about girls to me, like for example I should treat them right or what type of girl I should marry or things like that, she never even comes close to the topic. But I'm really scared to tell them I don't know why I've always been shy around my parents, and I don't know if they will embarrass me to her if they want to met her.
Scared to tell my parents about my girlfriend.
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