“You can have my vote if you have sex with me,” Ms. Alarid recalled the lawmaker saying, although he used cruder language for sexual intercourse. He told Ms. Alarid she had the same first name as his wife, so he would not get confused if he called out in bed. Then he kissed Ms. Alarid on the lips, she said.

Shocked, Ms. Alarid, who was 32 at the time, pushed him away. Only after he was gone did she let the tears flow.

When her bill came up on the floor of the New Mexico House of Representatives the next day, March 20, 2009, it failed by a single vote, including a “No” by the lawmaker, Representative Thomas A. Garcia.

As Ms. Alarid watched from the House gallery, she said, Mr. Garcia blew her a kiss and shrugged his shoulders with arms spread.