Alex Stalock made 32 saves for the Blackhawks (4-3-2), who have lost three straight (0-1-2).
"Yeah, that's wild," Chicago forward Andreas Athanasiou said. "Feel good once you get the lead there (in the third) and just unfortunate bounces, you know, give it right back to them. So it's something we have to clean up on. We stuck with it for a full 60 (minutes) and came back. Obviously, we had spurts where we have to dial it in a little bit, but there's a lot of good things to take out of it, and get a good day off tomorrow, come back the day after, and get ready to play."
Jake McCabe scored his first of the season to give the Blackhawks a 1-0 lead at 6:39 of the first period. Sam Lafferty skated behind the net and passed to McCabe, who beat Fleury through traffic from the right point.
Boldy tied it 1-1 at 7:01, scoring five-hole on Stalock after the Blackhawks couldn't clear the puck at the left point.
Shaw put the Wild ahead 2-1 at 10:52. Sam Steel got Stalock to overcommit down the left wing and passed back out in front to Shaw, who scored into an open net.
"I think I'll put that one up there for being the most fulfilling of my career to this point," said Shaw, who was playing in his fourth game this season and seventh in the NHL. "This is cliche, but more importantly, it's nice to enjoy this win. This is an extremely special group here. To cap off a great road trip, I'm glad I could be a part of it."
Said Boldy: "It's awesome. 'Shawsie' is the best. Everyone loves him. To see him get one finally after how well he's been playing is awesome."