Although there is some nostalgia for the Golden Sword...Hebashia is someone who is sufficiently sober and rational.
She clearly knows that Hermes is already dead and will never return. Furthermore, the Golden Sword was neither forged by Hermes, nor was it the weapon he used. He was merely a transit point, a messenger, handing it over from one place to another.
It cannot even become an old item to remember the deceased.
And the most crucial point is—the owner of it is Aiwass, not herself. She is not very concerned about how other people's wealth is used...not to mention, Aiwass is the benefactor who saved her daughter.
Compared to a Dead Sword that has long been given to someone else, the living person present is more important.
Thus, Hebashia hesitated not even a bit.
After confirming that Aiwass was truly uninterested in its power, she personally dissolved the sword.