The actually reality is this:

Literally nothing is known about this woman outside of a single narrative written by a supposed 14th century Moroccan historian, Ibn Abi Zar', who we know nothing about either outside of him being a historian. Actually, most academics doubt that he was any sort of scholar to begin with because the source of this information is not reliable.

There's literally ZERO evidence to support that this historian was one or that this woman was even real. In fact there's evidence that supports the notion that this story is fake because the inscriptions inside the mosque use a different script than what is claimed in the story. Most academics are skeptical of her existence and her story is treated as a cultural legend rather than historical fact.

Also within the folktale story, which by the way was written over 600 years after her supposed death, claims that she, along with her sister, inherited the wealth from their wealthy merchant father, and they both decided to use that fortune to build two parallel mosques in the same city.

The thing is that mosques in the early islamic periods were more like community centers than purely religious institutions. So it wasn't uncommon for mosques to have a learning center as a part of the complex. Keep in mind, these learning centers were islamic schools that taught islam. They weren't centers for researching and preserving knowledge like modern universities.

Over time, these mosques were repurposed to the needs of their time. Some were turned into purely religious institutions, some were demolished, some were turned into political seats of power, some remained community centers, and some evolved into purely islamic madrasas. Al Qarawiyyin was one of the latter. So this post is nothing more than blatant misinformation.

Tl;dr: This story is fake, this person isn't real, the historical source is unreliable, and the institution is not an actual university but a mosque that later became an islamic madrasa.