Smith and other former NBA players are scheduled to play with Rodman against a team of North Koreans on Wednesday that organizers say leader Kim Jong Un is expected to attend. Many of the players on Tuesday privately expressed second thoughts about going ahead because of an outpouring of criticism back home in the United States.
Smith, who played for the New York Knicks, said the North Korea trip has been dwarfed by politics and Rodman's frequent boasts about his close friendship with Kim.
"What we are doing is positive, but it is getting dwarfed by the other circumstances around it," Smith told The Associated Press. "Apparently our message is not being conveyed properly due to the circumstances that are much bigger than us, and I think that has to do with politics and government."
Rodman arrived in Pyongyang on Monday with seven former NBA players and four streetballers for the game on Kim's birthday, believed to be his 31st. Along with Smith, the squad features ex-All Stars Kenny Anderson, Cliff Robinson and Vin Baker.
The game would be another milestone in Rodman's surprising relationship with basketball fan Kim, who rarely meets with outsiders and is possibly the world's most mysterious leader. Rodman has called the game a "birthday present" for Kim but says he has received death threats for his repeated visits to this country and for calling Kim a "friend for life."
"The way some of the statements and things that Dennis has said has tainted our efforts," Smith said. "Dennis is a great guy, but how he articulates what goes on - he gets emotional and he says things that he'll apologize for later."
NBA Commissioner David Stern has distanced his organization from Rodman's squad.
"The NBA is not involved with Mr. Rodman's North Korea trip and would not participate or support such a venture without the approval of the U.S. State Department," he said in a statement. "Although sports in many instances can be helpful in bridging cultural divides, this is not one of them."
Rodman is the highest-profile American to meet Kim since the leader inherited power after his father, Kim Jong Il, died in late 2011. He traveled to the North for the first time last February and came back just before Christmas to hold tryouts for the North Korean basketball team, though he did not meet with Kim then.
The plan to hold the game has been criticized because of the North's human rights record, its development of nuclear weapons and its threats to use them if a conflict breaks out with Washington or Seoul. Rodman, in particular, has been slammed for not trying to use his influence with Kim to secure the release of Kenneth Bae, an American missionary with health problems who is being held in North Korea on charges of "anti-state" crimes.
Bae's family lives in Washington and Tuesday, his sister Terri Chung spoke with KOMO News about Rodman's trip and controversial comments to CNN about downplaying the human rights concerns.
"Disappointment is an understatement. We were shocked and outraged. Could not believe he was saying these things," Chung said.
Rodman also insinuated that Bae had committed some crime, despite no official explanation by the North Korean governemtn.
"He was in a position to help. He didn't want to and nd that's fine and that's his prerogative and then to go on to hurl these unqualified accusations made us really angry," Chung said.
Members of Rodman's group continue to defend him.
"I feel bad for Dennis, I feel bad for the players," Smith said, adding that when he played for the United States in the World Games in 1998 he felt elation.