The 13-pitch at-bat left the Arizona right-hander a little flustered and he gave up the biggest hit of the game to the next batter.
Anderson followed Tulowitzki's at-bat by allowing a three-run homer to Justin Morneau, putting the Diamondbacks in a hole they never recovered from on the way to a 5-4 loss to the Rockies Monday night.
"Composure got to me a little bit," Anderson said. "I kind of got out what I do best and I gave up those runs. That is just not me really."
The Rockies got off to a great start, going up three runs before starter Tyler Matzek even took the mound on Morneau's three-run homer off Anderson (0-1).
Matzek (2-0) pitched well, holding the Diamondbacks to two runs on five hits in five innings.
Colorado hit throughout the game, too, finishing with 11 — three by Corey Dickerson, who also drove in a run.
But the finish was not easy.
Matzek left in the sixth inning after his left hamstring cramped up. Arizona whittled away at the lead, scoring two runs in the fifth inning, one each in the sixth and eighth to cut the lead to one.
Axford managed to get through it, though, stranding the tying run at third for his third save and the Rockies' seventh win in 10 games.
"We made a little tough on ourselves, but wins in this league are gold and wins on the road are even more gold," Rockies manager Walt Weiss said.
Matzek got into a little trouble in the fifth inning after walking the leadoff batter and giving up a single to Nick Ahmed. Ender Inciarte followed with an RBI groundout to end Arizona's 20-inning scoreless streak and A.J. Pollock cut Colorado's lead to 4-2 with a run-scoring infield single.
Matzek came out for the next inning, but signaled to the bench after throwing one pitch and left with what the team said was a hamstring cramp.
"I felt very comfortable and that's the disappointing thing," Matzek said. "I felt like I could go deep in the game and help our bullpen out and something stupid like this preventing me is disappointing."
Arizona pulled within 5-4 in the eighth on a fielding error by shortstop Troy Tulowitzki at shortstop on a groundball by Gosewich, but couldn't come through in the ninth after getting runners on the corners.
"We have not been able to swing the bats well, period — especially with men in scoring position," said Diamondbacks manager Chip Hale, whose team has lost four straight. ".''
Anderson struggled early, giving up a single to Dickerson, then watched as Tulowitzki fouled off several pitches to work a walk. Two pitches later, Morneau hit a three-run homer just over the wall in right, his second of the season.
Dickerson a run-scoring single in the second inning and Nolan Arenado chased Anderson with a sacrifice fly in the sixth that put the Rockies up 5-2.
Anderson allowed five runs on eight hits in 5 1-3 innings.
"You want to get off to a good start and give your team a chance to win," Anderson said. "I didn't feel that I did that today."
Colorado has won five straight and seven of nine against Arizona. ... Paul Goldschmidt had three hits to extend his hitting streak to 12 games against the Rockies. ... Tulowitzki has reached base safely in 16 straight games against Arizona. ... Arizona's Brad Ziegler has nine straight scoreless appearances — spanning 8 1-3 innings — to start the season.
Rockies: RHP Kyle Kendrick, who will start against Arizona on Tuesday, is 1-2 with a 5.36 ERA in nine career appearances against the Diamondbacks.
Diamondbacks: Rookie RHP Archie Bradley will make his fourth start of the season against Colorado after facing opening day starters his first three outings: the Dodgers Clayton Kershaw, San Francisco's Madison Bumgarner and Texas' Yovani Gallardo.
Rockies: Weiss said he will start off with Axford as closer after Ottavino went on the 15-day DL with an inflamed right triceps, but also could use Rafael Betancourt in save situations.