Nightwing - No chance. He's like batman without the brains, therefore he loses, cause batman wins because of his brains.
Batgirl - See nightwing.
Taskmaster - Depends on the context of the fight. If he knows the pred is coming, then he might stand a shot. If he actually sees the pred, then he's got a fairly good shot. But if the pred is hunting him, bye bye.
Shang Chi - Same as taskmaster
Nick Fury - He's like an old punisher... he'd win if he could get a bead on the pred.
Black Widow 1 - Probably get her ass beat in. Not sure if she has any super-human powers. Only black widow I know of is just a really well trained agent.
Iron Fist - Same as taskmaster
Black Panther - If he knows about the predator, this fight is going to be damn close. He definitly has the skill and brains to prepare for the fight, but only to a certain extent. If the pred gets the jump on him, he's definitly going to have his work cut out for him.
Bullseye - Bullseye see predator, bullseye kill predator. Bullseye no see predator, bullseye get killed by predator.
Robin - Stabby stabby, another bird bites the dust.
Deadpool - Depends, we've never been shown how wade regenerates if his head and spine are removed. If he grows back from that, then the pred will just keep grinding that off, if he grows back from the body, then he can just keep coming back till its over.