This question on its own rigs of 'social gender-stereotyping'.
The corporate world has advanced by braking away from the primitive gender stereotyping of attributing certain specific roles to a particular gender.
Equal or more opportunities have been presented to women of late to empower themselves to e able to compete with anyone.
So as far as a person, male or female,however in this case, a female is qualified, there is nothing stopping such a person,all things eing equal.