Request! Captian AmericaXReader, Fate?

Captain Americaxreader
Nervously, you followed Steven Rogers-Err, - Captain America through the streets of New York. He had saved your life; you wanted to thank him personally and... Give him a gift. Your grandmother told you about how she fell in love with him. You had fallen in love with the stories that your grandmother, Sharon Carter. Then she died and your mum moved you to the states. That is when it was announced that Captain America had returned. "Steven! Steven Rogers!" You yelled, finally getting the courage to call to him. He didn't seem to hear you. "CAPTAIN AMERICA!" You screamed, picking up your pace. He swiveled around to look at you.
You stopped, trying to catch your breath. "Who are you?" He asked.
"(Y-y/n), (y/n) (l/n)." You panted.
"And?" He tried to prompt.
"I-I'm Sharon Carter's granddaughter." You mumbled.
He froze, and then pushed you against the wall. You yelped in surprise and tried to struggle. "Who sent you?" He demanded.
"N-no one, y-you just saved my life from those alien things... A-and Grandmother always talked about you-"
"Agent Carter didn't have any children."
"T-that you knew of, sir." You decided that going limp was your best option and he loosened his grip slightly. "M-my mother was her daughter. She told me stories about you. How you were a hero during WWII, and now you just saved New York! I wanted to thank you and, um," you pushed some of your (h/c) locks behind your ear and stared up at him. "I-I have something to give you from her."
He let you drop and you scrambled to your feet, fumbling with the catch on your bag. You finally managed to open it and pulled out a small necklace that your grandmother gave you before she passed away. You held it up to Captain America and he stared at it.
"T-this was hers." You said.
"I know whose it was." He said, his voice cold. He snatched up the necklace and examined it. "Where'd you get this?"
"S-she gave it to me."
His face softened slightly and your heart lifted. The blonde man smiled and lowered the necklace into his pocket, zipping it closed. "Thank you," he said.
"N-no thank you! You were the one who saved my life a-and so many others!"
"How about I treat you to lunch?" He offered.
You nodded eagerly, happy to get on the captain's good side. "Thank you!" You smiled gratefully.
He grinned back and took your hand. You blushed but followed him back into the slightly dilapidated city that was New York. Captain America led you to a small, clean, Delicatessen and you both ordered, then sat down in a small booth across from each other. You took a small bite of your sandwich but kept your eyes on his. He returned your gaze after a little while and you blushed hard.
"I-I'm sorry for staring." You mumbled.
He smiled at you. "It is fine, but I keep wondering..."
"What?" you asked, tilting your head.
"(Y/n), do you... Believe in fate?"
~Fin~