CARMEN LOVES GORDON. The fact that she's taken to calling him "Chief" is living proof of that; he actually reminds her a whole lot of her old boss, the Inspector, and given Coop's habit of calling her "Detective" (and trying to persuade her to go back to the side of good), there's a lot of nostalgia attached to her interactions with Gordon. She thinks he's great and really likes to talk to him, but she'd be a little hesitant about having him find out about her ACTUAL career because his opinion means a lot to her and it was hard enough dealing with Coop finding out and risking him disliking her because of it. So she's pretty content to keep being The Elusive Detective Sandiego in Gordon's eyes, and she definitely sees him as a sort of boss/mentor/fatherly kind of figure, too.