Well, it might lead to a major shift in the relationship between Snape and Harry. Harry could end up revealing his suspicions about Snape's true loyalties. If Snape is actually on the good side but Harry has doubts, the truth serum could clear things up. Or if Snape has some secret plans involving Harry, Harry's revelations under the Veritaserum could either thwart those plans or make Snape change them.
One possible consequence could be that Harry reveals some deep - hidden secrets. For example, his true feelings about his friends or his fears regarding Voldemort. Since Veritaserum forces the drinker to tell the truth, Harry might disclose information that he has been keeping to himself, which could then change the way Snape views him or the actions he takes in relation to Harry.
One major consequence could be that Harry reveals his connection to Sirius Black. If Umbridge gets to know about this through the Veritaserum, she could use it as a weapon against Harry. She might try to capture Sirius or use his existence as a way to blackmail Harry into following her every order. Also, Harry could end up revealing the details of how he has been learning magic outside of the school curriculum, which would be a huge violation in Umbridge's eyes.
Well, if Umbridge uses Veritaserum on Harry in a fanfic, it depends on how the author writes it. Some fanfic writers might have Harry spill out information about the Order of the Phoenix, which could put the whole organization at risk. Or perhaps he'd talk about his experiences with Voldemort that he's been keeping to himself. This could potentially change the whole dynamic between the characters in the fanfic, especially if Umbridge uses this information to her advantage.
Harry might initially be shocked and try to resist. But since Veritaserum is powerful, he would soon start answering truthfully. He could look angry towards Snape for using such a potion on him without his consent.
Well, one possible consequence could be detention. Snape is strict and would likely punish Harry for breaking school rules by smoking. He might make Harry clean the Potions classroom or do some other unpleasant chore.
Well, if Harry is given too much Veritaserum in fanfic, one consequence could be that he loses control over his own narrative. Since Veritaserum forces you to tell the truth, he may end up sharing things that are not only personal but also strategic in the fight against Voldemort or other enemies. This could disrupt plans and alliances. Also, it might change the relationships around him. His friends might be shocked or disappointed by some of the things he reveals, and his enemies might gain an upper hand. It could lead to a very different storyline compared to the original plot.
Harry might become more determined to prove Snape wrong. He's a stubborn character, and Snape's yelling could fuel his desire to show that he's not the misbehaving student Snape seems to think he is.
Dumbledore, if he finds out, would surely take action. He might not be able to reverse the effects of the Veritaserum immediately, but he would find a way to protect Harry from any long - term consequences. The other members of Dumbledore's Army would be in shock. They would worry about what Harry has revealed and also feel a sense of guilt for not being able to protect him from Umbridge's devious plan. Some of the more rebellious students might even start a protest against Umbridge's use of Veritaserum on a fellow student without proper authorization.
After Umbridge uses Veritaserum on Harry in a fanfic, the plot could develop in various ways. If Harry reveals secrets about the resistance against Umbridge, she could crush it. On the other hand, his friends might try to rescue him from the situation and that could start a whole new adventure of escaping Umbridge's clutches.
Perhaps in the fanfic, Snape discovers a powerful and dangerous magic that he wants to use for what he believes is the greater good, but Harry sees it as a threat. Harry has always been wary of Snape, and this new discovery could be the tipping point. Also, if Snape were to make a deal with a dark force in order to gain knowledge to defeat Voldemort but Harry misinterprets his intentions, it could lead to Harry killing Snape.
She might get detention. Snape is strict, and cutting class is a serious offense in Hogwarts. He could assign her to clean the potions classroom or help with sorting ingredients in the dungeon.