Listen to anyone in a somewhat morally messy profession (health care, law, politics, etc.) casually talk about it, and chances are it will sometimes sound jarring to a person distant from that profession. This could be an example of that, I suppose, but seriously...talk about small potatoes. It wasn't a high profile case, Hillary was requested to do this particular job, every step she described was ridiculously basic. Is it really surprising she spoke of it in a lighthearted enough manner as to seem distant from the deeper, more human aspect of it all?
What I find more amazing is that she was 27 during the case. I'm sure it isn't that rare to find a 27 year-old lawyer, but it's always impressive to hear of someone so young operating at that level.