What if Deku was trained by The Green Arrow

Rematch

Following the five months of intensive training at Lian Yu with the Green Arrow Izuku had just consumed the hair of All Might, deeming himself ready for the quirk Izuku ingested the strand of hair. Not within a few hours, Izuku felt a sudden surge of energy as his body connected the strength of OFA. During one of his workout sessions, Izuku unknowingly awakened his new quirk. Instead of punching one of Oliver's punching bags, Izuku sent a torrent of wind pressure away from him destroying many trees in the process while at the same time overworking his right arm. "What the hell!?" Izuku asks, noticing what he had just done only to collapse from the sudden pain and exhaustion. "Seems like you've finally awakened OFA." Oliver states, attending to his student.

Bringing him back to basecamp Izuku awoke only to see his mentor patch up his right arm. "Easy Midoriya, you've broken your right arm when you threw that punch. You'll need to rest." Oliver says, placing his hand on the bandaged arm advising his apprentice to rest instead of continuing on with his training for the day. "What was that Oliver?" Izuku asks. "That was your quirk, unfortunately being the first time of you ever wielding one you don't know how to control that quirk of yours so we're going to need to start focusing on managing the amount of power you output. This quirk is a double-edged sword Midoriya, if you overwork yourself not only you'll destroy your body, you'll most likely be crippled from the immense power so I caution restraint." Oliver responds, explaining what had transpired not moments ago before getting right back to treating his apprentice.

Waking up in Recovery girl's room Izuku saw the sight of his other mentor All Might and his newest friend, Melissa. Noticing a bandaged arm and a bruised leg Izuku chuckled at the moment. "Let me guess, I overdid it?" Izuku asked, knowing that he might've made a mistake. "Yeah, you did. Fortunately enough it was just a simple break in your arm. Your leg is sprained but I'm sure you'll be able to recover before your next match." All Might responds, holding Izuku's shoulder as he reassures the young boy. "Jesus IzukuDeku, don't scare me like that!" Melissa shouts, holding Izuku's hand causing Izuku's face to slightly blushing. "You're being way too hard on him you know. Well, whoever is teaching him other than you is going overboard..." Recovery girl states, condemning the teaching methods of Izuku's mentor. That being Oliver. "Recovery girl, I'm fine don't worry. It's just a simple break. Besides, I'm not an idiot." Izuku retorts, attempting to get back up only to be stopped by Recovery girl. "Easy there Midoriya, you don't have speed healing. You need to take some time to rest." Recovery girl mutters, holding her patient down as both Uraraka and Iida barged into the room. Immediately noticing Melissa holding Izuku's hand a wave of jealousy washed through Uraraka making her look at the transfer student in an intimidating manner only for Iida to suddenly break the silence snapping Uraraka out of her jealous state. "Jesus Midoriya, you look horrible!" Iida proclaims, running up to the bedside of Izuku Midoriya. "Iida, don't worry I've been through worse..." Replied Izuku, comparing his past injuries to his current state. "Deku, what you did out there was amazing! But I'm worried you're overdoing it...." The concern Uraraka says as Iida agreed with what she had to say. But before Izuku could respond the rest of Izuku's classmates paid a visit. "That match was so scary... Where did you learn moves like that Midoriya!?" The scared Mineta asked while Tsuyu silenced the grape midget. "You're way too noisy, go on and get! Midoriya would be fine." Recovery girl murmurs, kicking the rest of Izuku's classmates out of the room leaving both Melissa and All Might alone with Izuku. But before All Might could even start on having a one and one chat a certain individual decided to pay a visit. "How's my top intern holding up?" The voice of Oliver asks, seeing the rich billionaire walk into the hospital room. "Hey, Mr. Queen... I'm doing fine." Izuku responds as Melissa looked at the CEO of Queen Consolidated. "So you're Oliver Queen? My father told me a lot about you. I heard that Izuku interned at your company." Melissa asks, doing her best not to reveal Izuku's secret in front of the symbol of peace. "Yeah, in fact, Midoriya here was such a true role model. Midoriya told me you're the new transfer student at U.A. From what I read you really have a lot of talent and potential inside of you Melissa. Oh and All Might, you might want to take care of that deflated form of yours..." Oliver says, noticing All Might's deflated form shocking the symbol of peace only for Oliver to inform him that he can trust him with keeping secrets...