Shoto was never jealous of you. He knows you would never cheat or let people flirt with you or him. He has more trust in you than even in Midoriya.
But that doesn't mean he's not possessive.
You're his and his only. Other men are lucky enough to breathe the same air as you, let alone talk with you. That's why when he saw you talking with some student he felt his knuckles go white.
He wanted to spend a long break with you, eat lunch because he knows you would simply forget, too invested in your work, but when he reached the doors for your little workshop, he just stopped. He recognized this guy, he was in your class. And Shoto couldn't shake the feeling that he was somehow flirting with you. You both may be talking about your new gadget, maybe he asked you for advice on how to build something, or just talk about lessons, but Shoto knows better. He sees how this spawn looks at you, as his gaze remains on you even though you clearly present him with your new alien, as his hand flinches to touch you.
"Darling", an affectionate name slips effortlessly from Shoto's tongue as he enters your lab. He stands next to you, sets his portion of food on the desk, and wraps his arms around your waist, resting his chin and your shoulder.
"I brought you lunch. You forgot to eat again, didn't you?" seemingly a sign of protectiveness, with the deadly look he sent to his potential enemy clearly saying they're mine. Back off asshole