Can Annie have some sort of incentive to use her stun?

Just being able to hold that powerful gamechanger for whenever she feels like it is kinda bs. She has more than enough stats to cs without abilities since she has a really long range for her basic attacks. But she has no need to use her passive stun. If it had a lifespan or a damage decrease over time, then she would have to play a bit more strategic about when and on what to use the stun. Maybe something like how rumble overheats. If she holds onto it for too long she herself gets stunned, or she loses the ability to cast spells for a second or two. Or it could be where he longer you hold onto it (after a set duration (like 10-15 seconds) it drastically loses stun duration or becomes only single target (like first champion hit). Or she could have a MF W / Ashe Q mechanic where every Q which kills a minion/unit keeps it up for a little longer but not killing a unit with Q for a certain time will remove it. Or the boring way where it just goes away after a time and she has to stack again.

Edit: I mean to use the stun and not hold onto it in case the title was not clear.