Hawpe was hit while attempting to return to the bag to beat Hundley's pickoff throw to second. Hawpe lay on the field for roughly five minutes, but appeared to be responding to the team's training staff. Additional emergency personnel came onto the field and stabilized his neck. Hawpe stood, earning an ovation, and walked to a vehicle.
He was taken to Rose Medical Center in Denver for further evaluation, the club announced.
"At first, we thought he got spiked in the face or the ball hit him in the face or something," teammate Ryan Spilborghs said. "You always think the worst. But he got hit in the back of the neck. That's still scary."
Padres second baseman David Eckstein, the intended receiver of Hundley's throw, also felt dread.
"I thought it was the face, and they turned him over and said it was the back of the neck," Eckstein said. "They were being very cautious."
Eckstein was relieved when he saw that Hawpe was alert.
"I didn't say anything to him," said Eckstein, who noted that the incident drained the stadium of excitement. "I think he didn't want to be carted off. When I saw eyes open and everything, that [made it feel more] OK."
Hawpe had gone 2-for-3 with a walk. He walked and scored in the third inning, knocked a two-run double and scored in the fourth and singled in the sixth. Hawpe, 29, is batting .328 with two home runs, seven doubles and 16 RBIs.
Rockies manager Clint Hurdle said he knew nothing more than what the club announced officially. He wasn't sure how badly Hawpe was hurt.
"I don't know enough about it," Hurdle said. "I get out on the field, let the training staff take over, say a little prayer and turn the rest over to the people who work with him at the hospital."
Thomas Harding is a reporter for MLB.com. Nick Zaccardi contributed. This story was not subject to the approval of Major League Baseball or its clubs.