He's definitely feral. When feral cats get caught in a trap, they thrash around and try to get out. It's normal, even the bloody nose part. All you needed to do was put a cover over the trap. That would've calmed him down. I kinda doubt that you'll be able to trap him again because of his "experience" the first time. It wouldn't hurt to try though. I guess the best thing you can do for him right now is to make sure he's got shelter, food and water.

Nice try. I hope he'll go in the trap again.