No amateur has won an LPGA Tour event since JoAnne Carner in 1969.
Brecht said some money will be awarded to players, but officials said the amounts would not be made public. If the event had lasted 36 holes, players would have received full prize money.
Eleven players in the 144-person field will also play in the Solheim Cup, which starts Friday in Sweden. Inkster said shortly after play was suspended Saturday that the Solheim players were prepared to stay until Monday to finish this tournament.
Brecht said the Solheim Cup didn't affect the decision to shorten the Arkansas event.
"The LPGA looks at each event we have individually,'' he said. "Anything to make this shortened was a direct result of what was happening here and nowhere else.''
While in the parking lot, Inkster noted that the weather turned out better than expected Sunday.
"We probably could have played today,'' she said.
Inkster won the Chick-fil-A Charity Championship in 2002 when it was shortened from 54 holes to 36.
"It was like, 'Oh, I won,''' she remembered. "But it didn't really feel like I won.''
This tournament, presented by John Q. Hammons, was billed as the LPGA Tour's first visit to Arkansas since the Arkansas Open at Hot Springs in 1956.
Doug Wilbur, a caddy for one of the players who finished Sunday, said he understood why officials wouldn't want to bring in fans for just a few holes. But with the weather improving, he wondered about the decision to shorten the event.
"I wish they would make the attempt to play, and then make the decision afterward - instead of making the decision before, anticipating rain,'' he said. "I wish they'd make the effort to play 36.''