Pretty tricky spot to try to remove a barbed hook....

First of all I don't use the double hook rigs so I wouldn't have hooked a fish like that. If I happen to hook a steelie in that spot with a barbed hook I see if the hook will pop out on its own accord, sometimes it works. If that doesn't work I try to clip the line right at the hook or as close to it as I can.

That pic should also be a good indication of just how hearty steelhead are...weren't there a couple of rust stains on the fishes mouth? They had to be there at least couple of days...(edit: upon further review they are line sores.)