Ryan's winner came after a controversial penalty call in the early minutes of the extra session. After a tussle along the boards between Riley Nash and Ryan, Ryan struck Nash in the head. Nash followed with a retaliatory shot to Ryan's face, which was the only penalty call, leading to an Ottawa power play.
Ryan took advantage when he tipped home Kyle Turris' feed for the winner at 5:43.
"Obviously, it's tough," said Tuukka Rask. "We're the home team and our crowd is behind us trying to get us some calls right before that. I saw the replay, he took a couple of hits there and then gave him a little shove, so the refs can't see the replays the way we can.
"I'm not going to judge them. But obviously, tough penalty to take in the overtime."
Nash, who had an assist in the loss, took full responsibility for the infraction.
"I think it was pretty selfish of me," said Nash. "You can't make that play, can't put the refs in that position, regardless of what happened before that…it's pretty tough for the boys.
"I think he looked over and just saw my reaction. At the end of the day, it doesn't matter. They see what they see, and, you know, there's only two of them out there, and there's 10 guys [playing], so you just can't really put them in that position to make that call. You've just got to take it."