Nasrin Sheykhi’s latest Donald Trump painting was on the counter, but she was talking about an earlier piece. “I made his character a wild animal stamped ‘Made in Russia,’” she said.

After all the headlines about Russian interference in the 2016 election, her fans call her prescient. But what makes Ms. Sheykhi unusual is not just her work as a caricaturist. It is also that she is a Muslim woman from Iran who had never been to the United States until after the Trump administration’s ban on travel from several predominantly Muslim countries. She came — first to Philadelphia, now to New York — only after the government had given her a green card.

To listen to Ms. Sheykhi is to hear another account of women in a country where the government has relentlessly tightened its grip on both women and freedom of expression. It is also to hear about someone who says she was “a noisy girl with infinite energy” when she was a child. Now she seems to have infinite fearlessness.

Ms. Sheykhi, 29, received what is known informally as an “Einstein visa,” — officially an EB-1A visa — which often goes to famous people who the government decides have “extraordinary ability” in such fields as science, education and the arts. Ms. Sheykhi took some of the government’s terminology and used it in the title of an exhibition of her works that opens on Tuesday at NoMo SoHo, at 9 Crosby Street: “Alien of Extraordinary Ability: the EB-1A Tour.”