Hamilton had surgery Friday after he broke his left fibula in a 3-2 loss to the Columbus Blue Jackets on Thursday. He is out indefinitely.
"[Hamilton] is a heck of a player, so we're going to miss him anytime he's out," Hurricanes defenseman Jaccob Slavin said. "With the power play, he makes it a heck of a lot better. Some of the offensive plays he has, he's a shooter and a great passer, so his presence is missed all over the ice."
Aho tipped Joel Edmundson's wrist shot from the right point to give the Hurricanes a 1-0 lead at 3:59 of the first period.
Anaheim tied it 1-1 with 1:42 remaining in the period. Gudbranson pinched from the right circle, took Ryan Getzlaf's pass from the left corner and beat Reimer five-hole.
"I think they got a little lethargic and a little bit comfortable in their end, and I was able to sneak in the back side," Gudbranson said. "Obviously, [Getzlaf] being the great passer he is, he found me."