The duke is not solving everything for her, she is doing it herself. What the duke did to the baron was out of his own jealousy and anger and not on the basis of her relying on him. She has not made a request as such from her male counterparts. In the whole manga, they have shown women superiority through the duchess lady and the crown princess.
And about the Gaspal situation, he was asked to summon, not buy. Anyone could just buy from the neighbouring country. And remember the word "smuggle". He smuggled the herbs, not bought it. Even in the modern times, that is unacceptable. But even at the end, he didn't bring any herbs that HE had CREATED, not even the one he bought. And the way he used a shadow summoner to fake the identity is bad as it is. In the modern times too, forging an identity is punishable.
And the sentence "wow I wish I had a man who would beat my ex to a pulp for me", she never wished for it, she even stopped it. She was worried of the duke's manner of speech when he said that he wants to have a talk with the baron. She wanted to get revenge, but never wanted to involve the duke in her private matters.