Her first actual encounter with Bruce Banner was not by his doing, but hers. She had Jarvis keep track of everyone, and had him let her know when any of them were getting sick, so she could hope to head it off before it got too far.
The first time that Jarvis actually told her someone was displaying symptoms of being ill, it was a few weeks into her living at the Tower, and she still hadn't formally met everyone else who was living there. Thor technically didn't live there, yet anyway, since he was home on Asgard to take care of things.
She sort of suspected the first person to get sick would be Tony, but she was surprised to find that it was in fact, Bruce Banner, who she still hadn't met.
She steeled herself for the challenge.
"Where is he Jarvis," she asked, fingers crossed it was somewhere not terrifying.
"In his lab, working."
Okay. She could deal with that. "And what are the odds that he gets really mad and decides to smash me instead of lying down for a rest?"
Jarvis considered it. "Extremely minimal. I can have Mr Stark on standby in his suit if you're concerned for your safety."
"No," she said quickly. "I trust him. I think. I mean, Tony trusts him, right?"
"Completely," Jarvis agreed.
"Okay," she said, taking a few calming breaths before heading into the lift to retrieve her patient.
"You mister, are sick," she announced, standing in the doorway of his lab, hands on her hips.
The scientist blearily looked up from whatever he was doing to look at her.
"Who are you?" he asked, blinking a couple of times.
"Miranda Higgins. I'm apparently the live in babysitter, since your computer doesn't have hands. Technically I'm an emergency care practitioner. I did work for SHIELD, but then Tony decided he wanted to keep me, and here I am."
He blinked again, but it didn't seem like he was going to offer any sort of response.
"Which brings me back to my first point, which is you are sick. So let's go. March," she demanded, pointing to the door.
Dumbfounded, he got up from his stool and stumbled towards the door. He nearly tripped over a loose cord on the floor, but she caught him. He flinched away from her touch, so she released him, despite her concern that he may still fall over.
"I don't get sick," he said when they were in the lift. "The other guy takes care of that. I don't get hurt, sick, anything."
"How do you explain your current condition then?"
He frowned, probably taking stock of himself.
"I'm dehydrated," he said, like he'd only just noticed, which he probably had.
"Yes, you are," Miranda said patiently. "You also have a fever and an elevated heart rate, which I'm told isn't good for you."
He laughed. "No, you wouldn't like me if I'm tachycardic." He squinted at her. "I can see why Tony likes you."
She raised an eyebrow. "And you haven't even seen my medical skills yet. You, Dr Banner, are easily impressed."
He snorted. "Bruce."
"Miranda," she replied, leading him out of the lift and down the hallway to the medical wing of the Avengers Tower. "Now Bruce, when was the last time you slept? Also, do realize I'm asking you to be polite, since I can just ask Jarvis, and he will not lie to me. So reconsider what you were going to say."
He frowned at her. "That's a bit rude."
"Yes, well. The accent helps. Americans seem to think everyone sounds polite when they have a British accent, which allows me to manipulate you to my will. I suspect it's why Jarvis is British as well."
Bruce looked at her in awe as she settled him on a bed. "I hope you never try to team up with Tony and take over the world."
"I'll take that as a compliment," she replied, sticking a probe on his finger and a blood pressure cuff on his arm. "Although I am slightly offended that you think I'd need Tony to do it."
He smiled at her, but laid back on the pillows, clearly exhausted now that it was pointed out to him.
"But you didn't answer my question. How long?"
Bruce shrugged. "Not entirely sure, so you might as well ask Jarvis."
She tilted her head up. "Jarvis?"
"Doctor Banner last slept 31 hours ago."
She tutted at him, and removed the blood pressure cuff from his arm. "Your vitals are pretty good, but you are rather dehydrated, and you need to sleep. Are you okay with needle pricks?"
They both knew what she was asking. Will you turn into a green giant if I poke you with a needle?
"Yes, I'm fine," he told her, closing his eyes.
"Then I'll start you on a drip and let you sleep off whatever virus you've gotten."
He smiled at her, but didn't open his eyes.
Shortly after, he was sound asleep, his fever down slightly, and his pulse back to a normal rate.
Miranda was pleased with herself, both for making sure Bruce would be alright, and for not being absolutely terrified by him.
She counted it as a win.