A pilot, who was flying the number three airplane, and two other airplanes were en route to the destination airport and on approach to runway 36 (8,002 feet by 150 feet, concrete/grooved). The lead airplane requested runway 36 while on a two-mile final. When the lead airplane lost radio communications, the number two airplane then took the lead position. They were told twice by air traffic control to "hasten" their pattern since someone "faster" was behind them. Twice, the controller told someone to quit talking. The lead and number two airplanes landed in before the number three airplane. The pilot of the number three airplane stated that she lost control of the airplane just before touchdown. The left wing was damaged when it struck the grass adjacent to the runway. The airplane then cart wheeled and came to rest upright. The pilot received minor injuries. The pilot stated that winds were from 240 degrees at 8 knots at the time of the accident and that she should not have agreed to use a runway with a quartering tailwind or be "pushed" to hurry between two aircraft.