Legally, he doesn’t need her permission. He merely has to pay her the standard royalty rate via ASCAP or BMI, whichever one happens to license her music - the same way a radio station doesn’t have to get an artist’s permission to play their songs, as long as they pay the royalty. That’s the law. The jerk is the artist who tries to assert a right he or she doesn’t have, for publicity.
Point is, Trump HAS her permission, because she agreed with the legal arrangement that allows him to purchase the rights.