NEW YORK – A blade-wielding wacko called a Muslim woman a “terrorist,” then sliced open her face as she left a downtown Manhattan cosmetology school, police said.

The woman, 20, is a student at the Make-up Designory on Broadway near Rector St. and was leaving the building and walking toward Trinity Church at 4:50 p.m. when her attacker struck.

Police sources describe him as a white man wearing a black hat and a black jacket. He came up behind her, slashed a roughly two-inch gouge into her cheek, and ran off, police sources said.

The woman then ran back into her school on the 15th-floor and called a relative, who called 911.

The victim, who was wearing a scarf on her head, and attacker appear to be strangers.

Emergency personnel took her to Bellevue Hospital.

Police are reviewing security camera footage, sources said.

The attack is the latest in a string of hate crimes targeting Muslims in New York.