Hayley Marie Norman -- who's also appeared in the movies "Hancock" and "Fired Up" -- turned herself in to police in Los Angeles Friday afternoon ... after her ex's new GF told cops she had received an obscene text message from Norman last week .. which read, "You're a f**king c**t."

Law enforcement sources tell TMZ ... the new GF also complained that someone had vandalized the outside of her apartment by writing various messages ... including "This girl sucks d**ks for free" and "This girl is a f**king c**t."

Norman was booked on the misdemeanor charge of making obscene or threatening phone calls ... and we're told Norman may eventually be hit with a vandalism charge as well.