That part where he's looking at the food... His chair, back, and head kinda looks like Goblin Slayer's helmet.
For those confused, the contest is to select a merchant who is knowledgeable about egg cuisine so that merchant can buy the eggs from the farm, then flip em to other customers in a way that is safe and satisfactory. It's not a method to bring customers to the village, but to get the eggs that will eventually spoil out with the merchants for selling safely.
He asked if she had a method to determine if they are bad eggs or not. Meaning he knows due to their preservation being compromised, some of them might be unfit for consumption. If she has helped there, she would probably just be there all day long going through each and every egg, just so they could profit.
In the end, she's not a merchant anyways, she wants the eggs for herself to cook so it's not like she'll be re-selling them.