Probably enslaved or used as batteries by the Robot Overlords, considering it was Overwatch, the team of 5 people, that pretty much saved the world.
In all seriousness, you have to specify what you mean. Does the Omnic war thing still happen? If so, does humanity still win? Assuming it does, does the world just resumes to function and rebuilds? Does Talon still exist?
If we assume everything is the same as the current universe, except Overwatch (in all it’s forms) never happened, then
Soldier would probably leave the army, get married and have a family, like he wanted to.
Widowmaker would remain a professional ballet dancer, but would never become purple, since it was her husband’s connection to Overwatch that caused Talon to kidnap her.
Tracer would never have her accident and would just be a normal girl. Possible she wouldn’t even become a pilot.
Ana is still world’s best sniper, but her relationship with her daughter is different - there’s no Overwatch, there’s no dream of joining it.
Pharah might still join the army, but her desire to do so isn’t influenced by literal heroes surrounding her since childhood.
Mei is still a climatologist, but she never gets stuck in Antarctica, since it was an Overwatch mission that got her there.
Reaper still goes through SEP, along with Soldier. And if his smoky condition is caused by SEP, it will still happen. However, he never hires Moira, meaning she could never “”“fix”"" him, so he’d probably never become Reaper Reaper.
Mccree and Ashe still meet, Deadlock still happens, but there’s no Blackwatch, there’s no Commander Reyes to give him a choice of prison vs. redemption. If Deadlock is busted by another force, he’d probably go straight to jail.
Genji and Hanzo still have their fight. But there’s no one to save Genji. He dies.
Alejandra never gets her money back from Los Muertos. Her family’s bakery never gets flour that night.