Others have tried to blow his cover: George Galloway, a left-wing British politician and supporter of the Palestinian cause, published Mr. Mahmood’s photo on his website in 2006 and accused Mr. Mahmood of disguising himself as an Arab businessman and trying to entice him to make anti-Semitic comments over lunch.
[O]ne of her adopted brothers said that she had asked him not to reveal that she is white. "She took me aside and just told me not to blow her cover," Ezra Dolezal, one of her African American adopted siblings, told KREM-TV.
(reflexive,idiomatic) To reveal that one has fabricated or deliberately misrepresented one's own behavior, situation, or identity for an ulterior motive.
This spy film purports to be inspired by the true story of Kim Philby (1912-1988), a British intelligence officer and Soviet spy during the 1940s and '50s who gained international notoriety when he blew his cover and defected to the USSR in 1963.