Final answer:
Lucien received a prize in the competition by distinguishing his artistic focus on antiquity and classics over the Baroque, and this may show Annette's possible involvement or influence in helping secure the prize.
Step-by-step explanation:
The information provided suggests that Lucien is able to receive a prize in the contest by being an alumnus of the École des Beaux-Arts and focusing his artistic studies in a way that prioritizes antiquity and the classics in contrast to the then contemporary trend of focusing on Baroque masters.
This divergence from the common approach may have set his work apart and secured his prize in the competition that sponsored art studies in Rome for five years.
The dialogue involving Nora from the play hints at an event or actions taken by Annette that enabled Lucien's receipt of the prize.
However, without additional context, it's difficult to determine explicitly what this shows about Annette.
It could imply that Annette had in some manner supported or influenced the procurement of the prize, whether through networking, financial support, or other means.