Clair was found dead after Humberside Police were called her home in Messingham, Lincolnshire at around 12.40am on Sunday amid fears for her safety.
Tributes have been laid outside the scene in Elm Way, which remains under police guard as investigations continue.
Clair coached formation skydiving, in which multiple jumpers link legs and arms to form different shapes.
The mum, who also ran a beauty salon, was well-respected her village and locals expressed their shock at her murder.
Clair and qualified pilot Kemp – known as Ash – worked at Hibaldstow Skydiving Centre together, where he was the manager until earlier this year and she was a coach.
Kemp did not enter a plea when he appeared at Hull Crown Court and his barrister Mark McKome KC made no application for bail.
Judge John Thackray ordered Kemp to appear back at the same court in January next year and he was remanded in custody until then.
Clair was found dead in her home in the early hours of the morning Credit: Ben Lack
Clair and qualified pilot Kemp – known as Ash – worked at Hibaldstow Skydiving Centre together, where he was the manager until earlier this year and she was a coach.
Kemp did not enter a plea when he appeared at Hull Crown Court and his barrister Mark McKome KC made no application for bail.
Judge John Thackray ordered Kemp to appear back at the same court in January next year and he was remanded in custody until then.
