Rather interesting to see that you honestly believe that a demigoddess would be able to cause any harm to Zelda whom is shown to not just possess the Triforce of wisdom, but also be blessed by Nayru herself.
You know... One of the CREATOR DEITIES OF HYRULE?!
Zeus is decently powerful for a major god yes, but he would be unable to so much as touch her in the slightest.
As such the thought that a mere demigoddess of his loins being able to do any harm whatsoever is laughable at best.
If you are going to do a story based on mythology, make sure that you study ALL of the reference points first, no matter whether it if from the Percy Jackson book and Film franchise, actual Greek Mythology itself, of even from the mythology of a video game series such as the Legend of Zelda.
Just so you know I shall be kind and clarify as to why I am pointing out their types of godly status, it is due to the fact that there are different tiers and levels of divinity not only in Zelda, but also in actual Greek mythology. Zeus isn't even that high up on the this list actually.
As it goes according to Greek Mythology:
Mortal
Empowered Mortal
Demigod
Ascended Mortal {A mortal whom has the power of a Minor God}
Minor God
Ascended Demigod {A demigod whom has the power of a Major God}
Major God
Primordial God
And Lastly CREATOR GODS {Beings which can both create, and rewrite the laws of existence, A good well known example of this is Yahweh, AKA the GOD of the BIBLE}
And you have the absolute audacity to claim that a mere demigoddess of a Major God, would even have the slightest chance of harming a woman whom not only has complete control of a relic created by a CREATOR GOD, but is also Blessed by her.
Even if Thalia were to somehow cause any actual damage to her, do you really think that Nayru would allow her to get away with such a transgression?

yeah... no. This is not my thing. Link being Artemis' son? no. some may be fine with that but some things are to improbable for me to accept. Artemis having a kid? no, just. no. I wish you the best and to others who don't have any issue with that this fic is well written from what I have gathered so far.

you are over detailing things in all those internal monologues. It makes Link sound very arrogant and as if bragging 50% of the time.

I'm not going to go into details, because if you can't see it from reading it yourself there is no point in me trying to talk about it in the first place, but you have major issues. It pushes forward a story and I can tell you're making an effort in it. However, at the same time, it feels like I'm reading the writing of someone who either doesn't know how to tell a story or is fairly young.

The main thing here is your story just feels like the paraphrased events of an actual story rather than one itself. This ultimately just leads to problems popping up throughout your entire first chapter where it feels like you were trying to set up a scene and it just turned into MC did A then B next plot point repeat. Normally this would be the point where I would give a suggestion on how to improve your writing, but I just don't know how-to here. This is just a writing comprehension/understanding thing and the only way it can be improved upon is with more experience. One thing I can suggest is to always follow the adage of "show not tell" and to ask yourself if something sounds well, for lack of a better term, dumb before you write it down. If you follow those two things you'd do a lot better.

At this point for my more comprehensive reviews, I would go through and talk about each part about what I think makes up a story and how well or how poorly you did them. At this point, there is no reason to unless the first thing I talked about is either improved or fixed. This is mainly because I can just say the exact same thing for all the points I would normally hit.

The final thing I'll say here is that I hope you continue on with this. It has potential and it's always inspiring to see someone improve.
~ciao

wow i'm glad i checked the crossover set today to find this

Hello! I really enjoy this! I'm a big fan of both Zelda and Percy Jackson. I love your ability to tell a tale. The only thing I would recommend would be to work on Link's characterization. He seems very brash. I think it would also be helpful if you did say what he was feeling. Instead of saying he's confused, show us he's confused. Maybe say something like, "I stared at Artemis, My hands felt clammy and I could feel the sweat beading down my back. I kept shaking me head and wincing. How was I supposed to react to this?"

I think that if you work on showing and not telling it will help your story a lot! I'm excited to keep reading! This story has a lot of potential.

Been enjoying this story a bit love link telling his new surrogate sisters about his adventures kinda wish the girls talked a bit more during story instead of link talking non stop, looking forward to Majora’s Mask tale since it involves enemy using the moon the very thing their patron is the goddess of to kill an entire population off for mere shits and giggles as well as giving link a possible phobia of the moon.