Chasing a 139-run target, built around Tahila McGrath's 32-ball unbeaten 58, DC romped home scoring 142 for five in 17.5 overs to finish at the top of the table.
The Capitals won by 9 wickets after restricting the Mumbai Indians to 109/8.
IPL's most successful teams -- Mumbai Indians and Chennai Super Kings -- are also associated with the new league.
The Giants remain in contention for a place in the play-offs with the 11-run win over Delhi Capitals.
The 36-year old Warner steps in as skipper for injured Rishabh Pant, who is currently undergoing rehab and recovery after surviving a horrific car crash last year.
Marizanne Kapp broke the back of Gujarat Giants' innings with a stunning five-wicket haul, while Shafali clobbered 10 fours and five sixes to produce a ruthless 76* as DC completed the chase in 7.1 overs.
Mumbai Indians won by 8 wickets with Yastika Bhatia scoring 41 runs.
Lanning led from the front with an entertaining 70 off 42 balls as Delhi Capitals once again flaunted their firepower to reach 211 for four against UP Warriorz after being put in to bat.
Minnu will be part of a star-studded Delhi squad consisting of Australian skipper Meg Lanning, Indian Under-19 World Cup-winning captain Shafali Verma and Indian batter Jemimah Rodrigues.
Police said the wicketkeeper-batsman, who was alone in the car when it crashed, had lost control of the vehicle when he 'dozed off'.