The 'Perfect' singer was reported by TMZ to have paid for a life-saving operation on the animal, who suffered three broken legs after being thrown from an LA overpass into a river.
Responding to the story, the website's founder Harvey Levin noted on Twitter: "I think @pink did great by saving dog. But there's a debate. Spend 5k on 1 dog that's really sick or use $$$ to rescue 10 dogs w/ food, etc."
An enraged Pink hit back: "I do both actually. At least I don't spend my money employing criminals to go+harass people. Maybe you should save something?"
Her reaction forced Levin to clarify the intention behind his comment and reaffirm his pride in the 32-year-old's good deed.
"You missed my point," he wrote. "Both are noble, but what does [animal charity] Ace of Hearts do with limited resources? 1 or 10???
"Let me say again... I think what @Pink did is amazing. The Q I was asking is about the dilemma of rescue Orgs... which animals to actually save... @Pink... I did not mean to offend you. I think what you did is truly great."
The puppy Pink saved has since been adopted by a family in time for Christmas.
Watch Pink in the video for 'Perfect' below: