Mary, Queen of France?

I was thinking about this earlier today.

If the Burgundians, in the midst of the Hundred Years War had managed to play both the Dauphin and English against eachother, was it ever possible for Philip or Charles to see themselves crowned as King of France? If they do, what happens from there? Let's assume the direct Valois (including the Duke of Orléans), south of the Loire, end up going extinct for the purposes of this question.

Charles ends up leaving Mary as his only child. I know Salic Law prevented women from holding the crown of France, but Salic Law had only been established in France almost a century earlier, to prevent the English from laying their hands on the crown through Isabella Capet. French fiefs generally did not follow Salic law, either -- women were generally allowed to inherit fiefs and transmit them to their heirs, such as Suzanne of Bourbon. It was only lands attached to the royal domain where the lack of a male heir meant they rejoined the crown -- such as those Burgundian fiefs on the death of Charles.

With the direct Valois line dead, and Charles leaving Mary, with no other viable candidates... is it possible the French might allow her, in a time line like this, to become their Queen? She generally seemed to be a rather clever woman at the time. Perhaps a marriage could even be married to a powerful French magnate (The Duke of Bourbon, or even Brittany?) to secure her rule, the two effectively ruling as co-rulers? Or was Salic Law too entrenched at this point for it even to be considered?
 
Charles ends up leaving Mary as his only child. I know Salic Law prevented women from holding the crown of France, but Salic Law had only been established in France almost a century earlier, to prevent the English from laying their hands on the crown through Isabella Capet.

...but by this time the important parties believed in it implicitly. The University of Paris was very influential in France. The scholars of the University sided with Edward III on the issue of inheritance and the Salic Law ion 1337, and as a response they were purged by the French. In a matter of weeks the University became the strongest supporter of the Salic Law anywhere in France. On top of this, the Catholic church supported the rule of Salic Law. Overcoming these hurdles would be hard, especially as only a strong ruler could really achieve this and with mary totally unestablished (and on top of that being female) she wouldn't have the power or authoritativeness to dictate to them that they must fall in line. This would mean Mary would be fighting a losing battle from the start. Only with widespread and majority support would she be able to press her case.

Also remember that you can't have one rule for one situation and another rule for another. Or, you can but only when you have the political domination to prevent anyone arguing. If the French withdrew the Salic Law for this situation, it would be announcing to the world that they never really believed in it in the first place and made up the idea to keep Edward III off the throne. They may have been successful, but this would make their actions illegal, and ultimately it would be declaring that the law of France recognised the English Kings as the true Kings of France. Now, the English would still have to force their claim by arms to win the throne, they couldn't just march into Paris, but essentially it would make any attempt at defending the French royalty's right to their throne by legal terms impossible, which could mean that the French would be outcasted by other European monarchs, and more importantly by the Pope.
 
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