Bakugou could use his words. He might tell Deku that he believes in him. For example, he could say 'Deku, you may be a nerd but you're a strong nerd.' It's a backhanded compliment but it shows he has faith in Deku.
One great Bakugou Katsuki hurt comfort fanfic is 'Healing the Explosive Heart'. In this fic, Bakugou gets injured during a battle and his friends, especially the main character, help him through the physical and emotional pain. The author does an amazing job of showing Bakugou's vulnerability, which is a side not often seen. It's filled with heart - warming moments of comfort and growth.
One common theme is friendship. Since Bakugou is often portrayed as a tough - exterior character, when he's in emotional pain, his friends coming to his aid is a big part of these fanfictions. For example, they might offer a listening ear or practical advice.
The hurt part should be believable. It could be physical like an injury from a fight or emotional like feeling betrayed. And the comfort should be genuine. It can't be just a quick fix. His friends or the person comforting him should really dig deep into his issues. In some fics, when Bakugou is comforted by someone who truly understands him, like Midoriya, it makes for a great read.
There's also 'Softening Bakugou'. In this fanfiction, Bakugou experiences some self - doubt which is causing him emotional pain. His classmates notice a change in his behavior and slowly start to reach out. They use their different quirks and personalities to create a support system for him. It's a great read if you like seeing the tough characters get some TLC.
Bakugou might react with his usual anger. He could lash out at the bullies verbally or even physically, which might make the situation worse. For example, if someone makes a snide comment, he could respond with a loud and aggressive retort.
One idea could be '5 Times Bakugou Saved the Day'. It would show his heroic side as he uses his powerful quirk to rescue people in different dangerous situations. Another idea is '5 Moments Bakugou Realized His Mistakes', which would focus on his character growth.
A '5 times bakugou fanfiction' could be really interesting. It might explore five different emotional states of Bakugou. One time could be when he was extremely angry and how that affected his actions. Another time could be when he was vulnerable, perhaps after a difficult battle. Then there could be a time when he was happy and celebrating a victory. And two more times could be related to his growth as a character, like the first time he realized he needed to change his attitude towards his friends, and the second time when he actually made a significant change in his behavior.
Midoriya is often a common character. Since he has a complex relationship with Bakugou, his reaction to Bakugou's expulsion can be an important part of the story. All Might might also be included as he could be a mentor figure who tries to guide Bakugou, even after his expulsion. And Bakugou's other classmates like Kirishima would likely be there too, as they are his friends and would be affected by his leaving.
All Might would probably be one of the first to try to stop Bakugou. As Izuku's mentor and a symbol of justice in the story, he wouldn't tolerate such violence. Another could be their teacher, Aizawa. He's strict and protective of his students, so he'd surely step in.