Is the Canaanite woman from Tyre and Sidon a Gentile or not? As far as I know the Canaanite woman, she is a gentile, yes?

Or is she from Ham's son's lineage Canaan etc?

What makes a gentile?

Is it only not being in one of the twelve tribes of Israel?

Or something else?
Is the Canaanite woman from Tyre and Sidon a Gentile or not? 

The short answer is yes. She is a Gentile.

It is quite possible that she is a descendant  of Canaan and thus Ham.

She is not not of Jewish decent and she is not a Samaritan. Greeks were considered to be Gentiles to both the Jews and the Samaritans.


  The Exorcism of the Syrophoenician woman's daughter is one of the miracles of Jesus in the Gospels and is recounted in the Gospel of Mark in Chapter 7 (Mark 7:24-30) and in the Gospel of Matthew in Chapter 15 (Matthew 15:21-28). In Matthew, the story is recounted as the healing of a Canaanite woman's daughter. According to both accounts, Jesus exorcised the woman's daughter whilst travelling in the region of Tyre and Sidon, on account of the faith shown by the woman.
  
  The woman described in the miracle, the Syrophoenician woman (Mark 7:26) is also called a "Canaanite" (Matthew 15:22) and is an unidentified New Testament woman from the region of Tyre and Sidon. "The woman is ... described as Syrophoenician by race. It is unclear whether Mark seeks to distinguish between a Phoenicianfrom Syria and one from northern Africa or between someone living in the coastal area of Syria and someone living in the central part." Her other notable characteristic is her non-Jewish status: the Gospel of Mark adds that she is a Greek (Greek: Ελληνις).
  
  The third century pseudo-Clementine homily refers to her name as Justa and her daughter's name as Berenice. - Exorcism of the Syrophoenician woman's daughter