The school girl was found 24 days after disappearing from her home in Dewsbury Moor, West Yorkshire, hidden and drugged at the home of her stepfather's uncle, less than a mile away.
Shannon's mother Karen was jailed after a court heard how she planned her disappearance in attempt to claim a cash reward.
The BBC drama, The Moorside, which is set to air on Tuesday night, follows the local community at Dewsbury Moor as they search for the youngster.
Leading the campaign is Sheridan Smith's character Julie Bushby, who was a friend of Karen's and helped to bring the little girl home.
The Moorside: The BBC drama follows the search for Shannon Matthews
The Moorside: Sheridan Smith plays neighbour and friend Julie Bushby
Now, Shannon's grandmother June has slammed the broadcaster's depiction of the search for her granddaughter, claiming the traumatic events were not for "entertainment" and it was "sick and disgusting" to even think about making the two-part drama.
The 73-year-old commented: "Shannon deserves to live her life in peace. She deserves to be left alone.
"What happened to her was a trauma, a tragedy. It is sick and disgusting that it is being turned into a TV show. It isn't entertainment. It's real life and it hasn't even been 10 years since it happened."
The Moorside: Gemma Whelan plays Karen Matthews while Sian Brooke plays neighbour Natalie Brown
It is sick and disgusting that it is being turned into a TV show
June went on to tell the Daily Mail: "If she sees it, Shannon is old enough now to understand that it is about her. She will know about the terrible things that happened to her. How is that fair? It will upset her."
Meanwhile, her husband Gordon, 75, said they will not be watching the drama when it is broadcast: "I won't have that programme on in this house."
He added that the production company behind the drama asked if they could pass a letter onto Karen regarding the series, explaining she would be one of the characters in the show. But, he revealed they "haven't seen or spoken to Karen" following her arrest.
The Moorside: Sheridan's character Julie begins a campaign to find Shannon
Following their comments, a BBC spokesperson said: "This drama is not focused on Shannon Matthews herself. Her abduction is not portrayed, nor are her experiences during the time she was missing.
"The drama tells the story of the women who led the campaign to find her."
The Moorside airs on BBC One on Tuesday at 9pm.