In the US, the certificate (called a "diploma") would read
". . .has been awarded (or "granted") the degree of Bachelor of Arts. . ."
In the US, a person is never identified as "the daughter of Mr ....." except perhaps in those few newspaper stories where it matters to the plot that these two people are related, and in what way they are related. And women are not identified as "Miss . . ." either.
Possibly in British usage one is "admitted to the degree of Bachelor of Arts...," but not in the US.
In the US, a person is "admitted" to a university (sometimes you might say "a program," or a "course of study"), which will lead to being awarded a BA.
Student or Learner