She's more of a Sadodere than a Yandere. This is how Nagatoro could be if she turns on the mean side.
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https://the-dere-types.fandom.com/wiki/Sadodere
A
sadodere is a troublemaker who enjoys manipulating others feelings, commonly taking pleasure from it. It is common that a
sadodere will play with their love interest's emotions and humiliate them as well.
...
Although a
sadodere enjoys hurting people, they will feel more pleasure when hurting loved ones. That's why this dere type can be confused with
yandere. The difference between a
yandere and
sadodere is that a
sadodere character enjoys doing harm, while a
yandere character will only harm others to prevent them from taking their crush away from them.
Yandere characters can also hurt their love interest, but they do it to get what they perceive to be a positive outcome.
Yandere characters don't feel any pleasure in harming their love interest or other people. It's also possible, for a character to be both dere types and feel pleasure like a
sadodere while doing these
yandere actions.
(I hadn't heard of this one before...)
A more ethical version of this dere would be
hiyakasudere characters, who don't like torturing their love interest to death to feel good. They also only want attention from their love interest which they extract in a seductive and teasing manner.
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I wonder what the name would be for someone who constantly flirted with other guys in front of you just to make you despair that you were going to lose her at any time...