This is building on my Queen Wasp theory. So it might be a good idea to read that one first.
According to new info about the Queen’s Battle trilogy, Style Queen will be Chloe’s mother, who gets humiliated because of Gabriel Agreste. Considering that Chloe’s mother definitely seems to have known, and possibly even been close to, Adrien’s mom, the cause of the humiliation might be related to that, or it might just be something petty.
Since Alya was first given the Fox Miraculous when her siblings were akumatized, it makes sense for Chloe to be given her miraculous in this episode as well. It might be Adrien, Marinette, or both of them, who decides to give Chloe the miraculous.
If Adrien, because he knows there’s something good inside Chloe and hopes being a superhero will help her bring it out.
If Marinette, because after Zombizou, Marinette knows that Chloe isn’t beyond redemption, and since it’s Chloe’s mother, Marinette might find it fitting.
While it could be hard for both Adrien and Marinette to give Chloe the miraculous together, since it could possibly reveal that either of them know Chloe personally, if Chloe is there during the initial fighting and is trying to help, like she did in Despair Bear, it might give either Adrien or Marinette the idea to give Chloe a miraculous. I could imagine Marinette protesting, but eventually relenting as she’s reminded that she should give Chloe a chance.
Maybe Chloe even has specific knowledge about her mother that may help defeat her.
According to the Queen Wasp summary, we know that Chloe is going to keep the miraculous and will try to transform to impress her mother.
(The summary does say that Chloe will be akumatized into Queen Wasp
after transforming into Queen Bee to impress her mother, but that might
be a slight error in the summary. Either that, or I’m way off, I’ll be
the first to admit that, but I’ll keep basing this off of my Queen Wasp theory)
Like I said in my Queen Wasp theory, I think Chloe will refuse to return the miraculous, not out of spite, but because of her abandonment issues. We already saw how difficult it was for Alya to return her miraculous, and Chloe, having been abandoned and forgotten by her mother, will probably not want to return hers, feeling like she’s being abandoned all over again.
I can imagine that she’ll try to play it off like she isn’t actually emotionally affected by the idea of returning her miraculous, and that she just wants to keep it because, “Why shouldn’t I have it? I mean, I’m me. You wouldn’t have been able to win without me, so obviously I deserve this miraculous,” and she’ll most likely run home and activate a security system so that Marinette and Adrien can’t get to her and get the miraculous back.
In the next episode, Queen Wasp, we will see Pollen be angry or sad that Chloe won’t return the miraculous, with Chloe being very dismissive about Pollen’s feelings, leading to Pollen being akumatized. Chloe won’t notice Pollen’s akumatization, probably because she doesn’t know enough about Pollen or kwamis.
I imagine that Chloe’s mother is also very dismissive of Chloe and her feelings, and is generally unimpressed with her daughter, so, I think after Pollen has been akumatized, Chloe will try to transform in front of her mother, to show her “Hey! Look mom! I’m a superhero! I was one of the superheroes who saved you!” but Pollen’s akumatization causes Chloe to be transformed into Queen Wasp instead. One reason I think that Pollen is the one getting akumatized instead of Chloe is that I don’t think Miraculous Holders can be akumatized when they’re transformed, but my biggest reason for thinking that it’s Pollen is this:

It’s hard to see due to the image compression, but Queen Wasp has blue sclera and golden iris

Just like Pollen.
Queen Wasp’s skintone is also the same as Pollen’s.
So, I think Chloe will, due to the akumatized Pollen, transform into Queen Wasp, and I think Queen Wasp’s more Pollen-like design will indicate that the akumatized Pollen is the one in control.
Chloe’s mother is horrified to see her daughter transform into a super villain, Ladybug and Chat Noir shows up and saves the day, etc.
Then, to tie it all up into the last episode of the trilogy, where Chloe’s dad becomes akumatized, I think Chloe’s mother will be chewing him out (judging from the Frigtningale episode, Chloe’s dad is terrified of Chloe’s mom, and there has to be a reason for that). Either this will cause Chloe’s dad to become akumatized, or, after seeing her daughter transform into a super villain, Chloe’s mom will talk badly about her daughter to her husband, and this will finally cause Chloe’s dad to argue back with her, because she can drag him down all she wants, but she does not talk bad about their daughter! And this anger then leads to him becoming akumatized. Bonus points if Chloe sees her mom talk horribly about her and her dad defending her.
After Chloe’s dad is akumatized, Chloe gets a chance to help stop him and redeem herself, after which she willingly returns the miraculous, maybe adding something along the lines of: “I don’t deserve this after what I did.” And I think Marinette will be the one to tell Chloe that they’ll bring it back to her if they ever need her again, after which Chloe will quickly recover and say something like “Well, of course you’re gonna need my help again!”