It's the anon that sent the ask that confused you. I meant to ask how the Vongola would react to rescuing a civilian and that person ends up becoming their s/o. I hope this clears up any confusion.
Okay, thank you. Sorry for not getting it the first time.
Tsuna: Tsuna wasn’t sure how he got into a relationship with you at all. After he had saved you, he had gone to check up on you once. Apparently, that was enough for you to decide that such a nice guy shouldn’t always be so serious. This led you to tracking the Vongola boss down - much to Tsuna’s surprise and Gokudera’s displeasure. From there, you made him take breaks for picnics or for a day at the park, just trying to get him to be able to relax. By the time he realized what was happening, he had already fallen way to much in love with you to even think about backing out. After he realized, he made sure that he gave you a protection detail as well as getting you trained in self-defense, though he made sure that Reborn, Lal’ and Hibari had nothing to do with your training. He tried not to be overbearing but there were some days were you had to tell him to back off with the protection detail.
Gokudera: After he rescued you, Gokudera had started yelling at you for “being an idiot, seriously don’t you know how to run.” Still pumped up on adrenaline, you yelled back. The yelling match eventual turned into an awkward conversation full of pauses and “sorry for yelling at you” “it’s okay, after all you saved my life. thanks for that by the way” “don’t mention it.” As you were leaving, Tsuna encouraged his storm guardian to walk you home. Tsuna had to fight back a smile at how quickly Gokudera agreed - just to make sure y/n got back safely, you know they almost got themselves killed once today. Neither of you are exactly sure how the relationship progressed, but after it started becoming serious, Gokudera definitely taught you how to fight in multiple different styles.
Yamamoto: The relationship started with a “Thank you for saving my life”kiss. Jacked up on adrenaline, you gave the swordsman a nice long kiss on the lips. Taken completely aback, but rather liking it, a blushing Yamamoto asked you if you would be willing to see him again. Agreeing you offered to treat him to dinner at the local sushi restaurant - not realizing that he happened to be one of the Takeshi’s involved in it. Laughing about it when you found out, you decided that it must be fate and became determined to make the man yours. After you two started the relationship, you always referenced how he saved you by calling him “your hero.” A plus side was that always caused him to blush when he remembered what happened after. He was pretty protective of you, seeing as the first time he had ever actually seen you, you had nearly died.
Ryohei: Ryohei insisted on healing you and than making sure that you were okay after he rescued you. It was then that you started talking and you found that you both found the other’s company appealing. Ryohei asked you out before you left and you said yes in a heartbeat. You moved to the relationship pretty quickly. Ryohei was protective of you, but not to an excessive degree. If you were going out for longer than a couple of hours than he made you promise to text him every so often just so he knew you were okay. You both always looked back fondly on how you first met because he rescued you. When you had kids, it was their favorite story to hear.
Lambo: Lambo demanded that you repay him some how. A few parts of grumbling on your end and you ended up making him dinner. He was so impressed with your cooking that he started inviting himself over constantly for a meal. From there, he started watching movies with you when he had free time. Next thing you knew, you were texting him when you got bored and you would meet up outside of him just coming over for a free meal. Eventually, you realized that you were in a relationship when people started targeting you to get to Lambo. After that, Lambo became extremely possessive of you. Literally, he tried keeping you away from the other guardians excepting Tsuna, and absolutely refused to letting Reborn even meet you. However, he couldnt’ keep you completely away because he also wanted to gloat about how his partner was better than everyone else’s s/o.
Hibari: You were terrified when Hibari first saved you. After all, the Hibari Kyoya did everything to defend the peace of Nanimori - and the victim in incidents was often counted as disturbing the peace as well. However, the former disciplinary committee chairman did not attack you and actually made sure that you were okay - kinda…well, he stood there until you managed to get yourself up and going home. The next hing you knew, you were constantly being stalked by former disciplinary committee members. Finally, you finally managed to build up enough courage to speak to Hibari about it. When you talked to Hibari, you were unable to figure out why he had men following you in the first place - but you were able to get him to call them off, with the agreement that you’d text him once a day, and meet up with him once a week. You were so shaken up by it that you didn’t realize that this was the carnivore’s way of asking you on a date. The relationship with him meant that you were back to being followed daily - except when you were with Hibari himself. He was very protective of you, dealing with any threat to your safety himself.
Mukuro: The real reason Mukuro had even gotten involved in the first place was because something about him had interested him. After the first instance, he kept finding reasons to show up when you were around. That was how the relationship ended up starting. After the relationship began, Mukuro would be pretty protective of you, always remembering how he had to save you. He would also constantly remind you of his saving you when you tried to get him to do stuff that he didn’t particularly want to do - like go to your cousin’s wedding. He was also always extra worried about you when you went out (not that he would ever admit to it) because, if you had already been attacked once, what would happen now that you were dating him.