Unless your daughter never met with other kids or other adults, it's seems hard to say there's been no bias.
Pink was once for boys.
On the other hand it seems that infant chimps and rhesus monkeys play with gendered toys - https://www.theguardian.com/science/2010/dec/20/chimps-play-...
It seems like nurture isn't naturally all that strong except in certain circumstances.
Was your kid different? Your comment is not a lot to go off of but I get the sense you haven't raised a kid.
https://www.researchgate.net/publication/222673203_Sex_Diffe...