I have three justificiations for this decision. I won't call them reasons, because tracking her is a valid choice and on the utilitarian side of things (i.e. if we were playing Winter) most likel outweighs stuff like school and Rosie:
1) Mab is an enemy of Outsiders, and so is Maeve, and both would very much enjoy some revenge and shared violence right now. I am fairly sure that Winter is already tracking the woman down. While they might not succeed, it's unlikely that she'll be able to cause much trouble while avoiding the hunt.
Now, joining in on the hunt would probably be a good way to pal around with Maeve. That's definitely an option. But on the "how much damage can delaying one month cause", Mab is a mitigating factor
2) The longer it takes us to track her, the more things she'll do between the moment we last saw her, and the moment we catch her. And the more things she has a chance to do, the more information we'll get once we catch her via Crown. If she's not dead already.
3) On the meta level, she vanished in canon and was never heard from again. So, I think one month is safe enough.
It is very compelling to run after her for revenge and answers, yes. But we have stuff to do, and "living well" is a good revenge strategy.