I don't see where this would be Gryphon's problem, except (very) indirectly as the "shadow dictator" of the Republic of Zeta Cygni's government as it pertains to a part of Avalon County's health system. He also doesn't know her, or at least is acting like it - another indicator that he probably wasn't involved in the hiring decision. While he was behind the founding the trauma unit in question, isn't Hunnicut the director and therefore the one in charge of personnel management? So... no, I don't think this is what the author's talking about, although Cameron's former employer may want to have words with Hunnicut, assuming he's not on the staff of either the hospital or the IPO himself.

Is House the one that was mentioned as being sensitive earlier, though?