Tony Stark would likely find it hilarious. He'd probably be the first one to start making jokes about it. He might say 'Oh, Hawkeye, you've got some really creative fans out there. I should hire them to write my memoirs!'. As for Hulk, he probably wouldn't care much. He might just grunt and go about his business. But if he did read some, he might not understand it very well and get frustrated. Hawkeye himself would probably be embarrassed at first, but then he'd start to see the humor in it and might even enjoy some of the more positive fanfiction about him.
On the other hand, if some of the fanfiction was a bit too outlandish or inappropriate, it could make things a bit awkward. Hawkeye might feel embarrassed, and the other Avengers might not know how to react. But they'd probably try to smooth things over and remind Hawkeye that it's just the creativity of the fans and not a true representation. They'd still support him as a teammate.
The Avengers might be initially shocked. For example, Iron Man could start by using his technology to find ways to help Hawkeye communicate better within the team. He might create special devices for him.
There are several places where Avengers fans can find Hawkeye fanfiction. One popular option is Archive of Our Own (AO3). It has a vast collection of fan - created works including Hawkeye fanfiction. Another place could be FanFiction.net, which has been around for a long time and has a large community of writers and readers sharing various fanfictions about different characters, including Hawkeye from the Avengers.
In many fanfictions, the Avengers protect Hawkeye by using their unique powers. For example, Thor might use his lightning to fend off enemies approaching Hawkeye. Captain America would use his shield to block attacks aimed at Hawkeye. And Black Widow could use her combat skills and stealth to take out threats before they reach him.
In this fanfiction, some Avengers might be in shock. For example, Captain America could be deeply saddened, his belief in justice and protecting the world shaken. He might feel a sense of failure for not being able to prevent the Snap.
In this fanfiction, the Avengers would likely be filled with shock. They might stand there in stunned silence, unable to process what just happened. Their expressions would range from horror to disbelief as they watched their friends and allies turn to dust.
The other Avengers would be devastated. Iron Man, for instance, might feel guilty as if he could have done something more to protect Spiderman. He might become more withdrawn and focus even more on creating better technology to prevent such tragedies in the future.
Black Widow is a great character to pair with Hawkeye in fanfiction. Their history together in the comics and movies makes for an interesting dynamic. They can have a lot of action - packed scenes and also some emotional moments as they understand each other well. Another good pairing could be with Thor. Imagine Hawkeye's arrows and Thor's lightning working together in combat. It would be an epic combination.
One interesting Hawkeye Avengers fanfiction could be about his origin story in more detail. Maybe it delves into how he became such an expert archer and his early days with S.H.I.E.L.D. Another could be a story where Hawkeye has to train a new recruit in the Avengers, showing his teaching skills. And there might be a fanfiction that focuses on his relationships within the team, like his bromance with Captain America or his friendly banter with Iron Man.
Steve Rogers, on the other hand, would be a bit more diplomatic. He might not fully understand the concept of fanfiction at first, but he'd respect the creativity of the fans. He could say that while it's not the 'official' story, it shows how much people love Thor and the Avengers. He might even find some of the stories that highlight Thor's heroic side inspiring for his own leadership.