LGBT rights group Stonewall said it welcomed the decision and hoped to see more television programmes featuring sexually diverse people.
"The show's commitment to inclusion is welcomed by the community, demonstrating just how far society - and LGBT representation in the media - has come," a Stonewall spokesman told the Thomson Reuters Foundation.
"We hope see even more shows follow Blind Date's example by helping viewers across Britain gain a better understanding of the diversity of the LGBT community," he said.
The popular dating show first aired in 1985 on the ITV network and was hosted by former singer Cilla Black, who died in 2015.
Tourette's syndrome sufferers often uncontrollably shout swear words.
Experts will be consulted to ensure the issues are handled sensitively.
C4 deputy head of factual entertainment Liam Humphreys said: "We want to challenge people's perceptions about what is considered to be 'normal', but ultimately, this isn't a series about disability.
I find myself crouching on a small, circular platform, clutching a microphone, breathing heavily and trying to listen to the voices of the hosts and the previous contestant, but understanding nothing.
I'm surrounded by scaffolding, cables and stage machinery, dimly illuminated by fluorescent lighting.