I was appalled at how she dug herself in to not answer the reading question.
The way I interpret this is that it was very unexpected for her and she couldn't immediately appreciate the political consequences. She wants to be liked by everybody, but that's only possible if she can pander to that group and then that other group separately. Revealing something real about herself will pin her down and inevitably she's becoming very vulnerable. If she picks only conservative media she'll come out as too narrow minded to be in national politics. If she picks more diverse media she'll puzzle the core electorate she panders to, and God forbid some people may think she could be elitist.
The mention of NYT in her speech last weekend drew a lot of boos.
I do hope she reads New York Times, or at least has somebody on her staff read it and brief her on any important issues. After all it's the newspaper with the third largest circulation in US.
In any case Americans in general still know very very little about her and who she really is. Everything we've seen has been either the campaign narrative, or the opposition research. There are some interviews from before she was in the spotlight, but they seem to fly under the radar.