Natasha couldn't have children, but her DNA could.
At first, she didn't know how to take care of you. She had never been a mother, and had been separated from her only family. But she still wasn't going to abandon you. She took you under her wing, promising herself and you to take good care of you.
But let's be honest, it was going to be tough. She didn't know who your 'father' was and she could suddenly be very busy with her job as the Avengers.
And fortunately, all her worries were resolved by the arrival of her ‘best friend’. Clint.
Clint took care of you as soon as he found out about your existence. He helped Nat as best he could. He fed you, put you to sleep, changed you and even helped you bathe. He still helps you, though.
It wasn't surprising to any of the Avengers that you considered Clint as a father, even if it moved him every time.
“Daddy Clint, daddy Clint! I'm back from school!”
You came running into the Avengers common room, a dried plasticine sculpture in your hands. A big smile on your lips, you run and sit on Clint's lap who was reading an article on his phone. You immediately handed him the sculpture.
“It’s for Father’s Day, and I was thinking of you!” you say proudly.
Clint gently takes the sculpture from your hands, looking at it with emotion. A small arrow, probably representing him. He carefully placed the sculpture next to him, before leaning down and kissing the top of your head.
“Well done, little one!” He said in awe, his hands now gently resting on your arms, “This is the best gift of my life.”