One of those signature Weakness that can end the Campaign. Looking at the two elements, the effect and the discard condition, we get:
The effect: The nasty sting is that if Zoey is taken out by damage or horror, she ends up with 2 Trauma for her troubles. If you are unlucky enough to have this happen a couple of times, it's new investigator time. Fortunately, unlike Searching for Izzie, this card asks you to do what Zoey always wants to do.
The discard condition: Well, you discard it when the enemy gets killed, which is exactly what Zoey wants to do. It can be extremely variable, since you can draw a Swarm of Rats or a Servant of the Lurker. Drawing an Aloof enemy is, of course, extra annoying. It also benefits from the "loophole" that anyone can resolve it, so if a very weak enemy comes out or another investigator is combat-ready, this can be dealt with pretty easily. As usual with this style of Weakness, when you draw it is critical, as is the map. Drawing it one turn before Resigning or dooming out in The Unspeakable Oath is way worse than drawing it early in The Secret Name. It can take anywhere from 2 to 6+ actions to clear, so it is a very situational weakness. You can mitigate the effects with "Get over here!" or Righteous Hunt.
All in all, this is an above average signature weakness, maybe a bit above average.