She had all the right credentials to challenge her Democratic (and male) opponent.
Her campaign was sabotaged by her own cousin, former New Mexico Governor Miguel Otero, when he disclosed to the public that Adelina was a divorcée and not a widow like she had been claiming. Adelina knew that if she came forward as a divorcée, it might be a point of contention in her campaign. Because Adelina was a very "modern" woman for her time, her divorce likely did not embarrass her, but instead she wanted voters to judge her on her professional accomplishments and not her personal matters.
In a mostly Catholic state where divorce was regarded as highly dishonorable, the news came as quite a disappointment to some of Adelina's supporters. Surely it lost Adelina some votes.
In 1922 every Republican running in New Mexico was defeated by their Democratic opponent, which may not have been the case had the personal information about Adelina remained confidential.
Adelina on the campaign trail in 1922