On a different note: I was just like your DD when I was younger.
One thing that did really help in my situation was learning about my parents' strengths.
You said, "we regularly tell her that we're wrong all the time, and that it's OK." In addition, do you also clearly show her your abilities?
Do you show your DD ways in which you make excellent decisions (e.g. at work, in financial planning, in making a will, in helping a friend)? Do you show her your mastery of domains with which she is unfamiliar? Does she feel you are an authority on good choices (as well as mistakes)?
A balance can be good. Just thinkin'
