Carol Davis, a 25-year-old computer system analyst who has been flirting with the area's top ranking for the past two years, won the medal in the Women's District Golf Association championship on a rain-soaked Argyle course yesterday with a two-over-par 75.

Five strokes back was the Chris Liebedz of Army Navy, a 21-year-old senior at the University of Florida. It was her first time in a district championship.

Davies, the No. 1 player in the Washingtonian team matches, had to battle early morning gale winds and intermittent downpours. Among the familiar names making the championship flight were Army Navy's Betty Looney, a two-time winner of this tournament, clubmate Nancy Hollenbeck, who has played in several national competitions, and Tina Marlowe of Woodmont, daughter of club professional Tony Marlowe.

There were 101 women teeing off for the title vacated by Congressional's Sally Voss, who is involved in medical school examinations at the University of California at San Francisco. A total of 80 qualified for the five flights, 16 for the championship divison, which saw a playoff for three spots among five golfers at 86.

Davies, an early finisher, was out in 39 and home in 36. She had bogeys on the fourth and ninth holes but birdied the par-4 eighth when she put an eight-iron eight feet from the cup and made the putt.

On the back, she birdied the par-4 11th when she chipped in from 35 feet, and the 18th, when she was on the short par-5 in two strokes and two-putted.

Liebedz played steady golf with 11 pars and seven bogeys.

Play will continue through Friday with match play starting today in all flights.