I could be very wrong, but I sense that Hillary Clinton won't even be the Democratic nominee. She's got a lot of electoral history going against her, and the hard truth is that she's not a tenth the retail politician her husband is.
This is a great example. Her political sin in this case isn't that she's rich (virtually every national politician is), it's how she handled the question. The correct answer to a question about ones wealth is, "you know, America's a great country, and that Bill and I have been blessed with the success we've had is a testament to the reality of the American dream. I believe in that Dream, and I want to help more people achieve it," not (my interpretation of her words) "Bill and I were poor leaving the White House, so I totally get the pocketbook issues of Middle America (wink wink)"
In any case, the lasting political damage here is literally zero, but she's always had trouble with these sorts of comments and it doesn't look like the problem's been fixed.