Sara was trying to talk to Lucas comfortably even though she was feeling very awkward. Lucas, contrastingly, seemed lost in his own thoughts - answered when questioned but quiet throughout. Sara is an introverted person and it was such a big deal for her to make the first step to break the ice. Especially when the person she was talking to is a person of higher status in the institution and comes with a reputation.
Thankfully his personal assistant came to his office to give him the daily schedule. Sara decided to excuse herself so she could go back to work. Lucas let her go but not before leaving an instruction to have someone send her safely.
'I don't understand what is going on. I wanted to seduce her and yet she just friend zoned me!' The sudden realisation that he was dumped even before the relationship began hurts his pride. But he needs to learn to swallow it if he needs Sara to be by his side.