The council had planned to vote on the measure Wednesday but ultimately decided to push the vote to May 28. The panel, however, did act on amendments to the ordinance.
For instance, councilors chose to apply the ordinance to companies with at least 15 workers, rather than the initial 50.
Opponents of the proposal say it would infringe on their religious liberties to speak out against what they call the gay, lesbian and transgender lifestyle.
But Mayor Annise Parker, who is gay, and other supporters say the measure would offer protections at the local level against all forms of discrimination.
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