The correctly punctuated sentence is A."The reporter noted that her [Sonia Sotomayor's] nomination to the Supreme Court was a first for Latina women."
Unlike other sentences, this sentence is correct because it uses the correct punctuation of square brackets [...].
Square brackets are mainly utilized for academic writing. Herein, the author uses to provide additional information, to fix the mistake or to the emphasis upon something.
In the above sentence, the author uses the name Sonia Sotomayor's in square bracklets, to provide additional information to whom 'her' is referring to.