I hope that doesn't happen, to be honest. For once, I just want to see a very successful Louise.
The reason I am afraid of it is that, really while Louise wants success, it is not truly her end goal. She wants to be able to argue with Eleanor on an even playing field, help out her father, help support Cattaleya, have her mother be proud of her. She blames her lack of ability for magic for her being so, well, nothing for the rest of her family. (Alright Cattaleya gives her support, but Cattaleya is also so sickly the rest of the family is probably in, our job is to take care of you mindset.)
She has long ago given up on having peers as friends, and honestly I think Louise is lonely more than anything else. While I think that her succeeding with the spell may help her, I think that she really needs to realize that she wants people to talk to. And it would be more poignant if that happens when she is still having trouble, then if she suddenly turns things around. And Louise, bad luck, need I say more?
Which is why I am afraid that this will end badly. Louise as a character seems to me as the person that works hard for what seems to be nothing, a long slow path with a slow gain, until things finally work out. I don't think the story has reached that point yet. Especially as she has always did perfectly on theory, which is what the wand motion and word is until the spell works, and horribly fail upon practicals (actually casting the spell).
Edit:
Especially as from a writing perspective, the other way to set a scene like this would be to show the spell
work. This set up also works, but could also set up <Spell Learned>, <Spell Failed>. As someone that plays very fast and loose with perspective shifts and chapter breaks, I hide a lot of information by knowing when to end scenes. I write scenes like this sometimes, and I know all to well how this could end badly. It could also end well, but well... I am not going to relax until the next chapter says the spell didn't explode.