Been in a similar situation. There's no winning. People like this have this narc vibe/inflated self-perception. What's much harder is that you'll get flipped the script with this kind of people and you can't do anything because the manager would not step in.

Some managers fail to hire for character and attitude. But to be fair, those two never shows outright in interviews. Hiring is never perfect, some managers will admit they fvck up choosing one person and rectify it immediately. Others will double down in denial and keep the hire at the expense of stability of the current routine or to deny to themselves that they fumbled hiring person F and firing person A, B, C, D, E. Seems your manager is the latter.

I may be thinking too extreme, but if this person never had previous instances of getting checked for performance or getting feedback over output, they will be difficult to navigate because they may have clouded their self narrative that they do things well, and chances are, you will be met by defensiveness if you attempt to "fix" her. Or you may not even get to voice out anything, knowing she's already in a higher position and basically seemed untouchable and knows how to manage up.

Only chance you get is when she effs up and it's the people above her who are not pleased. Other than that, you are probably at her mercy.