Dewhurst doesn't seem to have had much luck with marriage.
He didn't marry until he was in his late 40s, to an ex-beauty pageant queen named Tammy who developed a drinking problem and constantly embarrassed him at rich people parties with her drunken outbursts. That marriage ended in divorce.
Then he married Tricia, who previously had been married to state senator Teel Bivins. That clearly didn't work out either.
Are there gay rumors with him or am I mixing him up with someone?
I've never heard anything about that.
You may be thinking of Rick Perry: during his 2012 presidential campaign, someone released a very poorly-sourced tell-all book including interviews with men who claimed they had discreet hookups with Perry while he was governor.