Ohhhh yeah. Her reputation in general is definitely gonna be Worse cause even though she managed to stop letting sex interfere with her work with the 118 after being fired aside from Dr. Wells but that's a Whole Fucking Thing that definitely made her relationship to sex even unhealthier than it was. She's still probably generally known as The Slutty Bisexual Firefighter(TM) to anyone outside the 118. It might be kind of obvious that she thinks he's hot but she'd also be adamant about not pursuing it until she has a handle on things. Which she may or may not communicate clearly to Eddie.