Am I the only one who thinks the first interaction between Sydney and Carmen didn't feel at all like a job interview, given the words exchanged and the body language, and that from this scene alone, we could already suspect that something beyond professional would happen between them?

Even their exchange outside during episode 3 "la brigade".

Which boss comes with a plate to see his employee who has made it clear she doesn't want to eat? He could have just said "your plate's ready, it'll get cold" and then left or started to talk to her about what happened in the kitchen. When Carmen didn't want to eat at the first family meal, Sydney asked him if he wanted to eat, he said no and she left him alone. But when Sydney didn't want to eat either, he INSISTED by coming over with a plate and standing there waiting for her to take the first bite.

That means he's worried about her, about her well-being. It means that from the start, without knowing her, he's had affection for her.