Amy Geithner of Fairfax parred the first hole of a playoff against Arlene English of Congressional and Nancy Hollenbeck of Army Navy and won the Women's District Golf Association Keefer Cup yesterday at Chevy Chase Club.

Geithner, 23, the reigning Women's District champion, came from five shots off the pace to overtake first-round leader Hollenbeck, who faltered with a front-nine 44. Hollenbeck shot 84-9--75 yesterday and English scored 81-9--72. The three were tied at 36-hole net 146 to force the playoff. Hollenbeck took second place in a match of cards.

Geithner, who in two weeks will receive a master's degree in physical education at the University of Maryland, had added a net 73-3--70 to an opening-round 79-3--76.

"After the first round, I really didn't think I had too good a chance to win," said Geithner. "My handicap is so low I thought I'd have to shoot an even-par round to be close." Geithner's 73 was two over women's par.

Because of her low handicap, Geithner had to give English and Hollenbeck each a stroke on the par-4, 361-yard first playoff hole. It didn't matter, because Geithner slammed a long drive and followed with a picture-perfect three-iron second shot which left the ball 15 feet from the hole. She two-putted for a par 4 while both English and Hollenbeck staggered to double-bogey 6s.

Kim Williams of Bethesda, the only scratch (zero handicap) player in the field, won low gross (76-72).

Bobbie Kane of Springfield, Va., and Army Navy Club, a participant in the tournament, suffered a massive heart attack while playing the third hole. Kane was taken to Suburban Hospital where her condition in the coronary care unit was listed as "critical," according to Nancy Suddath, office manager in public relations at the hospital.

Kane was stricken at approximately 10 a.m. in her golf cart just after she and her playing partner had teed off on the third hole. An ambulance was called and rescue squad personnel administered to her for about 30 minutes before putting her in an ambulance. On the way to the hospital, the ambulance collided with an automobile at the intersection of Bradley Lane and Connecticut Avenue. Another ambulance was summoned, which took Kane to the hospital.