Allowing a user to edit ONE view
I don't know that that's possible as described, but you could do something like this:


create a content type with only one field, accessible to the staff member
add an entity reference to the content type housed in the view



  Provides a field type that can reference arbitrary entities



create a relationship to the staff member content type


This would allow the Staff member to change the value in the content to which they have access, which would affect the View, but not directly have admin access to the View or the Admin sections of the Views UI