What you said are all true, how I wish someone had told my parents this "Seeing Things from Another Point of View" when I was a kid. I tell parents don't act like a parent act like a friend to your child and he or she would open up to you. @hopehuggs your daughter sees you as her best friend that is why she was able to tell you her fears, I know what I am saying because I had a whole lot of things I needed to share with my parents but I was scared to say it because I might get turned down, insulted or spanked. So I keep them to myself even till now, although I am opening up a bit but I still keep things from my spouse. It ain't my fault it is the fear that was impacted in me that is still there.
Parents should always learn to say this "Tell Them That You Love Them No Matter What" to their kids, this builds confidence and make them push harder. If you keep turning them down or insulting then when they fail, you are killing them emotionally, mentally, spiritually and also physically.