Dee Chronis, 49, was born and raised in New Mexico and identifies as Hispanic; she recently took a DNA test that showed her ancestors were largely from Spain , she said. Her daughters, ages 13 and 9, came with her to the rally, each decked out in Trump 2020 manicures.

She spoke about recent immigrants in stark terms. “They’re not nice, they’re always angry, they expect things,” she said. “I don’t have a problem with them if they come in and blend in, speak our language .”

Mr. Trump began his presidential campaign deriding Mexicans as rapists and criminals and has made anti-immigrant rhetoric a key part of his pitch to voters. But for Hispanic supporters at the rally, the overall takeaway from that rhetoric — directed at people who might look like them — is clear: He is not talking about me.

And while Trump supporters are clearly in the minority among Hispanic voters, it would be a mistake to presume Hispanics universally condemn the president’s language. Ms. Chronis and other supporters said they believed Mr. Trump’s rhetoric protected Hispanics like them because it emphasized their American nationality over their ancestry.

While the campaign has officially labeled its outreach effort “Latinos for Trump,” all of those interviewed eschewed the label and instead identified as Hispanic, which emphasizes ties to Spain and the Spanish language instead of Latin America, and is a term that is often more readily embraced among conservatives.

When asked about the mass shooting last month in El Paso, when a white nationalist killed 22 people in the most deadly attack targeting Latinos in modern American history, most simply shrugged. Several said they had never heard of the shooter’s manifesto, which said the attack was “a response to the Hispanic invasion of Texas.”