AUSTIN (Nexstar) -- There are five men who could conceivably win their party’s nomination for U.S. Senate in Texas, according to the University of Houston-Texas Southern University’s annual Texas Trends Survey. But a woman who is not currently in the race could shake up the race, according to the poll.

The survey comes just days after Republican congressman Wesley Hunt announced he's running for Senate. Hunt joins Attorney General Ken Paxton as a major primary challenger to incumbent Sen. John Cornyn.

In the Texas Trends Survey, Paxton slightly led Cornyn 34%-33%, with Hunt coming in at 22%. However, the entirety of the poll was conducted between Sept. 19 and Oct. 1, before Hunt announced his candidacy.

"And this was before I announced," Hunt wrote on social media Thursday. "We're just

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