If you can ask an insightful question that is also non-threatening and speaks to things the CEO is worried or cares about you will leave an impression. The biggest impediment to getting promoted is simply being known by upper level management. For most workers this will be the only time they are able to speak directly to C level executives. Come prepared and use it as an opportunity.
Note: this doesn't mean complete softball questions like "We did great this year how much better will we be next year?". Your questions need a very slight amount of edge to them. Its a fine line to walk. This may sound cynical but the best way to accomplish this is to know the answer in advance, this way you can ask what may sound like a question that could put the CEO in a spot but in actuality the CEO is able to provide good news. The answer should not be obvious to everyone in the room - put some leg work in.
‘Recent market trends show a big boost and renewed interest in AI and predictions in <insert domain here> area. Do you see this as an opportunity and what steps are we taking in that direction?’
Just make sure its not something that is supposed to be kept top secret and she can actually talk about it.
(I've been learning a lot about leadership, and that is a question I ask almost every leader I meet. Interestingly, they all give different answers - and you can learn from almost every answer you get.)
But like I said, I don't really have a clue of the type of situation this will be, that's just my off-the-cuff curiosity kicking in...
On a more serious note, I wonder why they keep doing these Q&As given that everyone thinks they are useless BS.
Otherwise, don’t bother. It’s at best a waste of time and at worst and opportunity to look like a crazy person.
"What keeps you up at night?"
"What's one thing you'd do differently in your career?"