Height is a common preference but you need to look past attraction and towards interaction. Personally, I prefer black and hispanic women, but it’s just a preference, I’ve been attracted to and dated white and Asian women. It’s not like when I’m with a white girl I’ll just walk away the second I see a hot black chick.
No, if I’m interacting with you, that means I’m into you and I want to see where my interaction with you is going. If I really just didn’t like white girls, then I would interact with them or ask them on dates or anything.
If a woman is with you, then there’s something about you that she likes and wants more of. It’s your job to suss out her feelings and to give her what she wants. If you let insecurity run roughshod all over your interaction, then she’ll never get to the point where she can fall in love with you.
The physical is maybe only 10–15% of everything involved in a romantic interaction. Focus on the other 85%, you’ll be a lot happier.