After Lee had laid the foundation, Wolvaardt raised 59 runs for the fourth wicket with skipper Jemimah Rodrigues to drag Delhi Capitals to the verge of victory, needing just seven off the last six balls of the match.
But Devine kept her nerve and claimed the crucial wickets of Rodrigues and Wolvaardt to concede only two runs in the final over to secure a memorable victory at the Dr DY Patil Stadium.
Devine had earlier hammered 95 in a brilliant display of power-hitting, but Delhi Capitals' young bowler Nandani Sharma claimed five wickets, including a last-over hat-trick to restrict Gujarat Giants to 209 all out. In response, Devine was again in the thick of action as the Delhi Capitals were restricted to 205/5 to fall narrowly short.
This was the Gujarat Giants' second win in as many matches, while Delhi Capitals slumped to their second successive defeat.