Really? It happens all the time in UwU. Nothing against UwU, it's a decent manga, and Unlucky has held her ground decently considering her situation, but she is frequently placed in a situation in which Andy has to save her. I guess at least she isn't really a badass yet and is still in-training?
The damsel in distress trope is also the whole driving force of the plot Ayakashi Triangle and Yozakura Family. And in The Witch's Guardian that ended just a bit ago.
I think you misunderstand the trope Teennitro is talking about.
We are talking about badass women who got introduced as elites, veterans, awesome fighters, great mages, etc. and who we see constantly in need of saving. An example for that would be that Ninja woman with the fishnets who was one of the high ranked Ninjas, a master and everything and yet we hardly saw much of that. The few times we saw her fighting she always needed someone to come in and help or save her.
In Fuuko's case she was not introduced as a badass she was introduced as a suicidal shut-in who had only lived so far to finish the Shoujo series she loved. If anything Fuuko is on her way to become a badass as in 1. Using her power offensively 2. Think up plans on how to deal with enemies like with
Spoil's power being largely useless in space 3. using weapons like guns and swords 4. kill
Andy by beheading it when he could't do so himself. And let's not forget that she actually did
save Andy
from Victor, which is more than Sakura was able to do for Naruto in terms of
saving.
The examples you are talking about, and in that UU belongs as well (for now), is "proper Damsel in Distress" (still annoying but at least it does serve a purpose and is due circumstances) as in the said Damsel does need saving as she cannot save herself and is in constant danger thus in need of constant protection. In AT Suzu is an
Ayakashi Medium and a normal girl, no way she can fight off
Ayakashi trying to eat her. In YF (I seriously forgot her name...) the family head is also a normal girl targeted by the whole world due her genes and as tough and cool as she is, she would not win a fight on her own if it was against a real threat and she and her family know that. In UU Fuuko is thrown into a crazy world where she has to orientate herself, but if you compare her latest acts to her first ones then she has already gone through a lot of development to become a future badass herself someday. At least she will be more of a badass than the Damsels in the other series.