Itzayana Is A Girl’s Name Of Mayan Or Possibly Basque Origin. It May Be A Variant Of The Mayan Name Ixchel Or Itzel, Which Combines The Words ix (lady) And chel (rainbow) To Mean “rainbow Lady.” What A Lovely Way To Let Baby Know How Much Light And Color They Bring To Your Life! Alternatively, Itzayana May Be A Variant Of The Gender-neutral Basque Name Itzal, Meaning “shadow” Or “protection.” Whichever Meaning You Prefer, You Can’t Go Wrong With This Beautiful Name.