I did this instead of writing notes for science, have slightly angsty starker
"Mr Stark, Mr Stark, please, it's really fine. I can just stay here; May's apartment is just fifteen minutes away and Happy misses her anyway. It's a win-win!"
Tony snarls, clutches at his hand, keeps heading to the front desk with enough of a murderous aura people scramble to clear a path. His heart thrills, basically leaps with joy because this is for him, this is his partner outraged on Peter's behalf. And then the anxiety goes from its usual ten to a thirty because this is happening because of Peter.
A tug does absolutely nothing so he yanks, uses just a bit of super strength to haul Tony in a shadowed hallway where the overhead lights won't show how he clings like a koala to a heaving chest. Tony could be frothing at the mouth and out for blood, but the man would never hurt him, even accidentally.
Peter nuzzles a warm neck, tightens the grip around Tony until the billionaire relents and slowly returns the hug, body slumping around his smaller frame. It's ok, Peter can hold them both up. One breath, two breaths, fifteen breaths to calm a heart much more fragile than his own.
"I can wait here. The conference is for Tony Stark, not Spider-Man and definitely not me. You'll be late if you don't go now and Pepper's counting on us to see this through. It's my first week and, unlike a certain someone," he tickles right below the third rib, gets a startled chuckle in exchange, " Miss Potts can fire me if I don't 'produce results that benefit the company'. She cares for me, but I have to work hard to earn my place, make it harder for people to say I'm only in the company because I warm your bed. "
Tony jolts back, ready to discourage that line of thinking, assure him that's not, would never be the case and Peter can't fucking cry in an airport because Tony will be late for work. But Jesus, he's really grateful he fell for someone that loves him so much they'd always make sure he knew that.
Thing is, Peter doesn't have the secrets to the universe. Can't be certain, 100% certain of lots of things like whether or not there are multiple realities, if Ned really was serious about dating Betty and who the hell taped him dancing to Abba during a particularly odd fighting session with miss Natasha. Anyway.
The point is one of the few things he does know, will never doubt for as long as he lives, is that Tony Stark, the 'Man in a Can', the saviour of the world, loves him with all his heart. Metal parts and all. So he pins his boyfriend to the wall and doesn't let him speak.
"Tony, it's fine. A pilot refusing to let an intern board the VIP plane can be expected. He doesn't know who I am and that's ok because you promised me we'd tell the company six months in. It's been a week. If we had to wait til I turned eighteen for you to hug me longer than five seconds, we can wait till I've proven myself. Besides, going to the parks was a bonus, not the main thing."
It's not like he hasn't walked into an amusement park since he was twelve and his parents were still around.
Tony mumbles, starts to wheeze and shit yeah, Peter has to rein in the strength. His lover inhales deeply, waves off the concern and pulls him in again to disappear into fluffy, previously styled, hair.
"You're telling me you don't wanna ride the Hulk rollercoaster and take a selfie to send Banner while he's giving class? You're really telling me no to that?"
Well, at least he's back to normal.
"Tony, don't be mean. And I'm your intern. What would people say if they saw me rubbing your back while you puked over a bridge?" That earns him an indignant squawk from his ridiculous boyfriend and a peal of laughter from Happy. Crap, he forgot their security team could hear them through the earpieces.
"Excuse you, kid, but I was flying into the air at more than a hundred miles per hour while you were in kindergarten. "
"To be fair, I think he was in middle school."
"Shut it, Hogan, or I'll tell May you hate her walnut demons."
Peter gasps, turns to the now flustered Happy with mock surprise. "You don't like May's baking? Happy. She'll be so disappointed. Might even reconsider getting the Stark dating app." He ducks, grins when the stack of documents Happy always carries around smacks Tony right on the nose.
"Bullseye." Frank, the new security detail's leader, coughs into his shoulder, but the so called genius still glares at him before shoving the papers into Pete's hands.
"Fine. Be a good intern and hold these. I thought 'oh no, I can't let Pete's honor be questioned so I should get the pilot fired and my boyfriend a seat next to me. He's my partner and I can take him anywhere he wants in the world. Let's have a nice date after the conference, that could take his mind off of things'. But it's fine, Mr Intern. I'll just say you're my assistant. See how you like economy while I'm flying first class." Tony stomps away, angrily complains about ungrateful boyfriends , traitorous best friends and incompetent bodyguards.
While heading to the opposite gate.
Peter snickers as he turns back, manages to bite his lip when Tony seethes and warns them to not say a word about being old and unable to decipher directions. Frank absolutely loses his shit right there, has to grip his second in command's arm when Tony plucks Peter up like a kitten and drags him beside the philanthropist's hunched figure.
An arm wraps around his shoulder and refuses to move until they're on the plane, the pilot's sulking in the airport cafeteria and Peter's just a seat away from the world's most ridiculous, loveable, caring boyfriend. Tony tugs at him, says something about being cold and spiders running hot. But they both know he's just happy to have his lover, uh, intern close by. For matters of the company, yeah.
(Still. Peter shows exactly how happy he is to have such a considerate partner by winning every single plushie at the amusement park for Tony. If he later shows his appreciation privately in the CEO's office, well. Interns are expected to help the boss stay awake during working hours, after all.)