Still, Mr. Abbott, who has Mr. Trump’s support, was booed in January at a Trump rally north of Houston, only winning over the crowd by invoking the president’s name more than two dozen times in his six-minute speech.
“I think Greg Abbott has been in long enough,” said Anita Brown, 62, who attended a recent rally for a right-wing House candidate in The Woodlands, a suburban enclave north of Houston. “I would just like to have someone new.”
Texas is where Mr. Trump suffered one of his rare primary endorsement defeats last year, in a House race, and while he has issued a range of endorsements, from governor down to Tarrant County District Attorney, he has mostly backed incumbents and heavy favorites.
Bigger tests of his influence loom later in the spring and summer, in the Senate contests in North Carolina and Alabama, and in the governor’s race in Georgia. In that Georgia race, Mr. Trump recruited David Perdue, a former senator and governor, to attempt to unseat Gov. Brian Kemp, a Republican who refused to bend to Mr. Trump’s efforts to overturn the 2020 election.
In Texas, Mr. Paxton, a regular guest on Fox News, commands the endorsement of Mr. Trump, but remains vulnerable because of his legal troubles: On top of his aides’ accusations of corruption, the Texas attorney general has been under indictment for securities fraud since 2015.
His range of challengers represent the various Republican power centers vying to be the future of the party.
There is George P. Bush, the son of Jeb Bush and a statewide office holder who has held himself out as the most electable conservative in the race, and Eva Guzman, a former state Supreme Court justice who has the backing of some traditional, business-aligned power players in Republican politics.