Donald Trump supporter Jeffrey Lord hints he's convinced New Mexico Gov. Susana Martinez, the nation's first and only Latina state governor, does not owe any added allegiance to the Hispanic community.

"She's not a Latino," she's an American citizen," Lord recently told CNN.

Lord's words come on the heels of a series of harsh criticisms recently lobbed in Martinez's direction by Trump himself, who after emerging as the presumptive GOP nominee for president had recently vowed to do all he can to unite the fractured Republican party.

Trump Insists Martinez not Doing job

But after taking the stage during a May 25, rally in Martinez's home state, Trump immediately went on the offensive, accusing the governor and chairwoman of the Republican Governor's Association of "not doing her job."

Prior to their public rift, Martinez had been critical of Trump and did not attend his recent rally in Albuquerque, telling reporters she was "really busy" running the state.

Trump responded by telling thousands of New Mexico residents at his rally the two-term governor is most responsible for the state's mounting economic problems, including a splurge in the number of residents now receiving food stamps.

"We have got to get your governor to get going," Trump said to a cheering audience. "She's got to do a better job. Okay? Your governor has got to do a better job. She's not doing the job. Hey! Maybe I'll run for governor of New Mexico. I'll get this place going. She's not doing the job. We've got to get her moving."

Trump also took Martinez to task for what he sees as her allowing "large numbers" of Syrian refugees to resettle in the state. "If I was governor, that wouldn't be happening," he said.

Martinez's press secretary, Mike Lonergan later chalked the Trump insults up to nothing more than mere politics.

"The Governor will not be bullied into supporting a candidate until she is convinced that candidate will fight for New Mexicans," he said. "Governor Martinez doesn't care about what Donald Trump says about her - she cares about what he says he will do to help New Mexicans. She didn't hear anything about that today."

Once mentioned as a potential vice presidential candidate, Martinez has been critical of Trump, who has vowed to deport millions of immigrants if he is elected as Barack Obama's successor.

Martinez Bothered by Trump's Immigration Rhetoric

Back in April, Martinez told a crowd of wealthy Republican donors gathered for a retreat in Florida that she is offended by some of the rhetoric Trump has used in referring to immigrants. She added that Trump's plan to build a wall along the southern border and force Mexico to pay for it was both unrealistic and irresponsible.

More recently, Martinez has dodged questions about Trump, including whether or not she will ultimately come to publicly support him.

"I'm the governor of New Mexico, and I'm really focused on what's going on here in New Mexico," she said.

Trump also used his Albuquerque rally to attack Democratic frontrunner Hillary Clinton and Sen. Elizabeth Warren.