Wakefield Coroner's Court heard a kitchen knife was next to the 38-year-old's body, which was found on a double bed in a bedroom at the house on Holborn Street in Woodhouse.
Area Coroner Jonathan Leach said employees of her landlord went to the property on November 4 after concerns were raised, but there was no response.
Mr Leach said on November 12 they entered the property with the help of a locksmith and found Ms Burdett's body.
Paramedics attended and declared Ms Burdett dead at 1.45pm that day.
Mr Leach said a report by pathologist Dr Lisa Barker gave her preliminary view of the cause of death as incised wound to the neck.
Mr Leach adjourned the inquest to a date to be fixed.
West Yorkshire Police have said there are no suspicious circumstances surrounding Ms Burdett's death.
Ms Burdett, also known as Ara Amy Starblaze, appeared on the X Factor in 2008.
The former Horbury School pupil described herself as a holistic vocal coach.
To begin her audition, Ms Burdett told the judges: "First of all let's sort this out. I am not a number, I am a human being."
She then tore her contestant number from her shirt and threw it towards head judge Simon Cowell.
Following her performance, Simon described her singing as "atrocious" and she was escorted from the set.
A video of the audition has since been viewed more than 3 million times.