thoroughly agree with needing to answer affirmatively to Ares, but I can kinda understand how she hesitates to lose even an ounce of her hard earned independence given all that she's been through. I mean, she had to support not only herself, but a sickly mother AND an irritating immature brat of a younger brother for all those years as a young girl - who probably would've been taken advantage of! - and then now she gets thrown into a politics game where she has no power, no wealth, no backing.
Marrying the Duke to gain rights to educate her younger brother is the sure course of action. However, I think we all know that she knows that. The more important thing here becomes the TIMING of her acceptance. Remember she had a huge audience when Edith tried to have Alicia humiliated in front of the other nobles. Accepting the proposal would've been ok, but then the perception of her would be: "She's just borrowing the power of the Duke, she's not really worth anything herself. She'll do a poor job because of her lowly origins." All they see is her lowly origins and her smithy skills, which have no bearing on educating an emperor on politics and law. "Lower class" hard labor skills don't exactly teach an emperor, do they?
However, if she is successful in organizing an event and revitalizing an economy successfully from the lowest of lows, she will gain recognition for her skills in what nobles find hard to even do. She'll have earned credibility and built her reputation so that she HERSELF is seen as worthy of educating the emperor. Key word being "seen" because perception and appearances is what really matters when you have a council voting on who gets to educate the emperor. We all know she is, but getting a council vote? It takes more than just not liking the Archduke.
Well, this is definitely the long route, but imo much more worth it if we want a CAPABLE fl calling the shots. I hope the story doesn't disappoint!