Maybe Peter has some urgent news to share. For example, he might have discovered a new threat to the city or a problem related to one of their projects. He could also be in trouble himself and needs Tony's immediate help.
Well, it could be that Peter is just being his impulsive self. He might not fully understand the importance of the meeting or he could be overexcited about something he wants to show Tony right away. Like he might have made a new gadget and can't wait to tell Tony about it during the meeting.
Another possibility is that Peter has received some sort of distress signal from someone or something related to Stark Industries. He feels it's his responsibility to inform Tony as soon as possible, even if it means interrupting the meeting. He may think that the matter is so urgent that it can't wait until the meeting is over.
Perhaps Tony, knowing Peter's character, is somewhat expecting the interruption. He might have a wry smile on his face and then listen to what Peter has to say. He could also play it cool and make a joke about Peter's eagerness to interrupt his meeting, while still giving Peter a chance to explain his reasons.
It could also be due to external pressure. The media or some powerful figures in the fanfiction world might force Tony to stay away from Peter. They could spread false rumors about their relationship or use their influence to separate them for their own gain.
One possible reason could be to test Tony's loyalty. Thanos might want to see if Tony is truly committed to his own self - interest over protecting Peter. Another reason could be to break Tony psychologically. Tony has a father - like relationship with Peter, and forcing him to harm Peter would be a huge blow to Tony's mental state.
One possible reason could be jealousy. Maybe Peter has some natural talent or ability that Tony wishes he had, and this makes him mean. For example, if Peter is really good at something like coming up with innovative ideas quickly, and Tony, who is used to being the smartest in the room, feels threatened.
Maybe Tony believes that Peter is in some kind of danger that May can't protect him from. So, he takes Peter away to keep him safe in a more secure and technologically advanced place that he can provide.
In the 'baby peter interrupts avengers meeting fanfic', it could be that baby Peter has some sort of special power that activates during the meeting. He might accidentally use it and cause chaos, like making Captain America's shield fly across the room. Or he could just be a normal baby and poop at an inconvenient time, making everyone scramble to deal with it while trying to keep the meeting on track.
One possible reason could be that Tony Stark is being overly critical of Peter's superhero work. Maybe Peter made a big mistake during a mission, and Tony's harsh words in his attempt to correct Peter made him cry. For example, if Peter accidentally put civilians in danger and Tony scolded him severely.
Peter might barge into the meeting room, his face flushed with excitement or urgency. Maybe he has some crucial information that couldn't wait. He starts talking rapidly, ignoring the initial shocked stares from the attendees. The meeting leader tries to regain control but Peter's words are like a flood, pouring out important details about a project that could change the course of the company's plans.
Maybe Peter inherits Tony's high - tech gadgets. For example, he could get access to some of Tony's Iron Man tech, which would be a huge deal. This could set him on a new path in his superhero journey, perhaps allowing him to upgrade his own suit or develop new abilities.
Maybe Peter discovers that Tony has been keeping secrets from him that directly affect his life or safety. For example, if Tony has been secretly monitoring Peter without his knowledge, Peter might feel betrayed and cut ties.