The woman was a gentile (Mk 7:26-7:26)

“Now the woman

Was a gentile,

Of Syrophoenician origin.

She begged him

To cast

The demon

Out of her daughter.”

 

ἡ δὲ γυνὴ ἦν Ἑλληνίς, Συροφοινίκισσα τῷ γένει· καὶ ἠρώτα αὐτὸν ἵνα τὸ δαιμόνιον ἐκβάλῃ ἐκ τῆς θυγατρὸς αὐτῆς.

 

Matthew, chapter 15:22, has something similar.  This woman was a gentile Canaanite woman (ἡ δὲ γυνὴ ἦν Ἑλληνίς), of Syrophoenician origin (Συροφοινίκισσα τῷ γένει), that is in the area of Syria and Phoenicia.  Matthew never mentioned the area she was from.  The Canaanites, who worshiped Baal, were still the enemies of the Jewish people.  This Canaanite woman kept begging Jesus (καὶ ἠρώτα αὐτὸν) to cast out the demon from her daughter (ἵνα τὸ δαιμόνιον ἐκβάλῃ ἐκ τῆς θυγατρὸς αὐτῆς), since her daughter was possessed by an evil spirit.