Reading Inheritance: Could Nasuada possibly have been a rider had she turned to Galboratix?

In Inheritance, in the Hall of the Soothsayer chapter, after Nasuada is abducted by Murtagh and spirited away to Uru’baen, Galbatorix tries to persuade her to become one of his foremost servants and name slaves.

No, you are here because you have proven yourself worthy of my attention. … I wish to have you by side, Nasuada, as my foremost adviser and as the general of my army…

Of all the candidates I have examined, Murtagh was the first I considered eligible and the first to survive the tests I set before him. You shall be the next, I am sure.

Do you think Firnen would have hatched for Nasuada had she turned and passes Galby’s tests?