Who does Josephine marry?

[LeopoldPhilippe]

Josephine (Napoleon I's first wife) had a sister Catherine. Catherine was suppose to marry Alexandre de Beauharnais in 1779. Catherine died before the marriage could take place.
Josephine's father accompanied Josephine to France for the marriage. She was sixteen when she married Alexandre de Beauharnais.
In this scenario, Catherine does not die before the marriage. Josephine's father accompanies Catherine to France for the marriage. Catherine marries Alexandre de Beauharnais.
What of Josephine? Does she still marry Napoleon? Or does she wed a French nobleman?

 

[LeopoldPhilippe]

Pierre Claude François Daunou (1761-1840) was a professor in various seminaries from 1780 to 1787. He was elected to the National Convention in France.
In this scenario, Joseph-Gaspard Tascher and his daughter Josephine move to France in 1788.
They meet Pierre Daunou. Josephine is quite impressed with Daunou.
He courts her and they marry in 1789.
In 1819 Daunou became the chair of history and ethics at the College de France.