Maybe she's a socialite or an it girl, so the circles she moves around may need her so called reputation to be, whatever it is and kept in tact, in order for connections to be kept. If it's not that them maybe Gina's work (if she does?) just wouldn't like hearing some of these surprising Charlie changers i.e. escort. I reckon the reputation is prob just referring to personal pride more than anything, rather than an untarnished public image.