Betty Looney of Army Navy survived a shaky start, then settled into a reliable pitch-and-putt game on the back nine and carded net 84-11-73 to win her first Women's District Golf Association Keefer Cup with a 36-hole net total of 145 yesterday at Chevy Chase Club.

Marian Lewis of Woodmont finished second at 147, followed by WDGA President Ann Heuer of Congressional at 150.

Nancy Hollenbeck, tied for the first round lead with clubmate Looney at 72, skied to 86-7-79 and tied at 151 with Tina Marlowe of Argyle and Dot Gates of Columbia.

"I shanked by wedge shot on the first hole," said two-time WDGA champion Looney, "and I never shank. Everytime I picked up an iron after that, I was terrified.

Looney took a disconcerting doublebogey six on that par-four, 361-yard first hole and followed that with two bogeys. "I thought I had lost the tournament right there," she said.

Looney parred holes eight and nine and finished the front nine in gross 44. She parred 10 and 11 and settled down for 40 on the back nine, finishing her round by holing a 25-foot parputt on the 18th green.

Marlowe, with 82-83, won low gross on a draw against Hollenbeck, 79-85 after both shot 36-hole totals of 165.

Carol Davis of Washington, 86-83, outdrew four-time Keefer champion Rebecca Doman of Argyle for third after they finished at 169.