Is it permissible to supplicate for the return of the nose's previous shape after a fracture repair surgery that led to a change in its shape, knowing that the doctor did not inform the patient beforehand of this change?

There is no blame on you for the surgical procedure you underwent, as it was to remove harm. And what the doctor did by way of forbidden cosmetic alteration, there is no sin upon you for it, because you did not request it nor did you authorize it.