The pairing of No 3 Maddy Green (51 off 68) and No 4 Katie Perkins (41/45) then picked it up from there as the visitors posted a handsome 222-8 from 50 overs.
Priest said CD failed to break the opening partnership of the Hearts but felt they did well to bounce back to restrict the visitors to a gettable target.
"I didn't think there were too many opportunities to break that partnership ... but I just thought they batted very sensibly today on that sort of pitch," she said.
Unwanted White Fern Kate Broadmore again was the pick of the CD bowlers, with 4-23 from 10, including two maidens, with three scalps coming from the tail.
Left-armer Maneka Singh came in when the run rate soared, before returning to claim 2-42 from 10 overs, including a maiden. But veteran Burrows recovered to join Broadmore in the frugality stakes with 1-24 from 10 overs, including two maidens.
The five no-balls from Saturday's two-wicket loss was gone, but the 18 wides remained.
Hawke's Bay schoolgirl Sarah Cowan made her debut as a bowler and opening batsman, after making fielding appearances in two games, to claim her maiden wicket for 38 from six overs.
While it was commendable, Cowan took 57 balls to make nine runs. It stifled any chance of overhauling Auckland's target for a win.
"It's more of a development type thing for us because we need to see who's coming through for us," Priest said of Cowan, although it was in contradiction to coach Mike Shrimpton's declaration that this is a summer "of performance rather than development".
CD managed to make 175-9 in 50 overs and were nowhere near flirting with the run rate.
Irish international Eimear Richardson top-scored with 74 runs from 100 balls while occupying the crease for 100 minutes, to eclipse her previous best score of 39.
"She just showed staying power out there and a calm head to play those big shots when we needed a couple of big overs," Priest said, lamenting no other batsmen could stay with her after Sara McGlashan played an almost T20 innings of 25 from as many balls for the next highest score.
On the flip side, opener Kelly Rangi dropped to No 7 to look more calm and composed to muster valuable confidence in remaining unbeaten on 16 from 27 balls.
Priest, who opens in the T20s but drops to No 4 in one-dayers, agreed the descent was a great idea for solid hitter Rangi to "express herself better".
The recalled White Fern is looking forward to playing the third round against Otago Sparks in Hastings, confident that if they pick up the key wickets, they will prevail.
The Hinds play a curtainraiser to the CD Stags v Wellington Firebirds HRV Cup T20 game at McLean Park on Friday afternoon before shifting to Cornwall Cricket Club in Hastings for the two one-dayers on Saturday and Sunday.
