Just how damaging is this to Hillary, both in a primary, and more importantly in a General Election?
Not at all. The Republican PR machine has thrown so many accusations at Hillary over the years and recently, that she'd practically have to be caught handing nuclear weapons over to the head of ISIS for anything to gain real traction with swing voters. 99% of "scandals" from now to election day are nothing but red meat for the base that hates her.
That's not to say that she hasn't done things that
ought to hurt her, but that between the right-wing's endless attempts to turn
everything into campaign-destroying wrongdoing and the sheer repugnance of the Republicans' positions to many voters, scandals aren't going to be doing much damage to candidate-presumptive Senator-Secretary Clinton. (She can still totally sink her own ship if she really screws up, though.)