CBS faces a growing dilemma over the future of mega-buck anchor Gayle King as ratings for her “woke” morning show tank – and the struggling network’s new owners vow to root out left-wing bias, The Post has learned.

Donald Trump has been gloating in recent weeks about CBS’ decision to cancel Stephen Colbert and “The Late Show,” and now he’s targeting another one of the network’s on-air personalities: “CBS Mornings” co-host Gayle King.

Donald Trump, in an unhinged social media rant, turned his back on Gayle King, accusing her of losing belief in him and his administration.