"We've lost our best player, but we've faced adversity this year already," Therrien said.
Price suffered an apparent lower-body injury in Montreal's series-opening 7-2 loss Saturday after a collision with Rangers forward Chris Kreider. The best-of-seven series continues Monday night in Montreal.
Although Price continued to play in Game 1 after the contact, he was pulled after two periods, during which he surrendered four goals on 20 shots.
Several Canadiens players and Therrien were upset about Kreider's actions on the play, insisting he did not do enough to avoid contact.
Therrien called it a "reckless play" Monday in his pregame media briefing from the team's practice facility in Brossard, Quebec.
"I'm really disappointed," Therrien said. "Obviously he's our best player. Looking at the incident, it's a reckless play. That's the truth."
Therrien told reporters that he has decided who would start in net for Monday's Game 2 but did not wish to make it public.
The Canadiens could go with backup Peter Budaj, who relieved Price for the third period and gave up three goals on five shots, or 24-year-old Dustin Tokarski, who played 41 games for the Hamilton Bulldogs of the American Hockey League this season.
Neither goaltender was made available to the media Monday.
Price was rock-solid for the Canadiens throughout the season and also led Team Canada to a gold medal in the 2014 Sochi Olympics.
"As a goalie you obviously feel for him. You always want to play this time of year," said Rangers goaltender Henrik Lundqvist, who has recorded four consecutive playoff wins. "I don't want to put too much focus on what's going on in the other side. I have to focus on my own game. It's tough enough as it is."
That said, Lundqvist defended Kreider's actions when asked whether he anticipated any sort of retaliation by Montreal in Game 2.
"I hope not," he said. "I looked at it. It was an accident. You have to look at Kreids; he's one of the fastest guys, he's a heavy guy. Just to change direction at that speed, it's tough. It's a 2-0 game. Of course, he's going to score."
Engulfed by a throng of reporters at his stall Monday, Kreider said he had only one regret on the play.
"I look back on it and think I wish I would've put it into the net," he said.
Amid criticism from the Canadiens side that he has a previous history with goaltenders -- Kreider was whistled for goalkeeper interference against the Penguins' Marc-Andre Fleury in Game 6 in the conference semifinals -- Kreider said he has been and will continue to play with physicality and drive the net.
"I think I'm a clean player," Kreider said. "I don't go out with the intent to hurt anyone ever."