Looks like Eliot is crushing on Brun. Remember the star eyes when he first saw her?
It makes sense. He's got a strong protective instinct, and his first introduction to her she's literally Cinderella-ing.
(She lost everything, and is now cleaning a bakery for pocket money, while wearing a cute bow, and her flat affect can be read as determination in face of adversity.)
How strong the crush, unknown.
How much he accepts/understands his own feelings, unknown. Good discussion today on Renee's teasing and his counterproductive reaction.
If he has strong feelings, and an urge to demonstrate them, his track record is (as far as we know from the Padma arc) not good.
Someone else said earlier, he's very physical. A strong silent type. Good with reading body language and used to keeping mum.
She's very literal, unskilled in or incapable of interpreting nonverbal signals.
That's not a great match of communication styles.
Brun is unlikely to interpret statements of concern or acts of assistance from Eliot as indicators of interest (Renee and Jim are concerned and helpful, but not romantically interested).
If Eliot wants to pursue Brun, he's going to have to stretch outside his default style, to clearly and forthrightly state his intentions.
If he does that then, no matter how she feels about it, she'll probably respond with a stony face and rigid posture. Because that's her default style.
And to a kinesthetic person like Eliot, that will read as rejection, whether or not its intended.
Or maybe Renee will meddle, try to play matchmaker or (what's the word for anti-matchmaker), running roughshod over whatever feelings or preferences her two friends actually have in favor to what she thinks they want or what she thinks is best for them.