At least initially, she came off as this to me and the more the memories progressed, the less did my opinion change. Kass's sidequest conclusion does give it a bit of a spoiler on her personality and actions but before that she was very... selfish. Very much she felt like a character who needed and desperately sought validation and needed to be the one who succeeded in her "destiny".
Even when Link is 'knighted' which was at the behest of the champions as a morale booster, she's completely out of it because she doesn't want Link to be the moral pillar of their group because he is everything she fails to be and accomplish. Of course, everyone around her is successful. Urbosa is a total badass and the warlord of the Gerudo, Revali is an ace, Daruk is strong and level-headed, and Mipha is a renowned hero and healer who is of royal blood just as Zelda. Then there's Zelda who, as far as she has managed, has only managed to fail at everything in her own mind.
When she hides the sheikah slate activation from Link, for instance, its because (a.) she's envious of him and (b.) because she wants to be the one who succeeds here. She is desperate to succeed given she failed at being the "chosen" one like her mother had been.
So through it, she comes off as someone who (because of failure) twists and twists into an ever more selfish person in order to finally grasp success somewhere. She does this in her research, trying to find success in the ancient riddles and mysteries, and why she ends up (at their last meeting before he dies

) fighting with her father.
Obviously, her father is just as guilty in her character as he's the one who pigeonholed her from birth into a sense of "being chosen" and "you must succeed", so its not at all surprising that she ends up being someone desperate to succeed.
Its when she drops all the baggage that she is able to actually awaken her power.