The International Basketball Federation (FIBA) strongly denied its rule, at the centre of the biggest controversy at the Games in Incheon, was aimed at any particular faith.
"FIBA's regulations apply on a global scale and without any religious connotation," the body said in a statement.
"While certain groups have interpreted the provisions of the official basketball rules as a ban against the participation of players of certain faiths in basketball competitions, the uniform regulations are of a purely sporting nature."
FIBA indicated a further softening of the rule, already relaxed at national level, when it said tests could be carried out in international matches next year.
Qatar, formally listed as "disqualified" from the Asian Games after forfeiting their first two games, were the only Muslim country to enter a women's team.
"FIBA regrets that a delegation was sent to the Asian Games with uniforms that do not conform to the official basketball regulations," FIBA said, without naming Qatar.
"These regulations were enacted 20 years ago without any other sort of considerations than sports-related ones and without any major complaints until very recently," it added.
Kwon Hyung-Sang, secretary general of the Incheon Asian Games Organising Committee (IAGOC), expressed regret that Qatar could not play but said he could not override FIBA.
"Qatar's women basketball players have not been able to play and I truly regret this. However IAGOC have to consult with FIBA in terms of sporting policies," Kwon told reporters.
"Without prior authorisation or approval from FIBA we cannot allow the women to continue the game.
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