Kath is going to face the reds’ wrath.

Democratic Socialists of America leader Gustavo Gordillo warned Gov. Kathy Hochul that the emboldened far-left group will take aim at her over her reluctance to “tax the rich,” according to a new report.

“She knows we’re coming for her,” he told the New York Times.

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The warning came after Mayor Zohran Mamdani-endorsed DSA congressional candidates Darializa Avila Chevalier and Claire Valdez, along with avowed progressive Brad Lander, swept their Democratic primary races Tuesday.

The red sweep signaled both Mamdani’s power as a political kingmaker and the growing influence of the far-left faction within the Democratic Party.

Hochul, a moderate, last year endorsed Mamdani in hopes of harnessing the far-left fervor that swept him to victory in New York City’s mayoral race.

But she has held firm against Mamdani’s — and the DSA’s — demand that she support raising taxes on the wealthy.

The governor’s stubborn opposition to the hike and continued embrace of Mamdani has led to several awkward moments in which crowds of fired-up DSA diehards have tauntingly chanted “tax the rich” at her.

Gordillo, who co-chairs the DSA’s Big Apple chapter, told the Times that if Hochul wins re-election this year that she should expect a renewed push — and added pressure from the faction’s adherents in Washington, DC.

“I think we have to show New York what it means to have three democratic socialists in the congressional delegation,” Gordillo said, according to the Times.