Reality TV star Caitlyn Jenner has been criticised by some of her own supporters after posting an apparently cheerful Instagram post of her enjoying a day out with daughter Kylie just hours after step-daughter, Kim Kardashian-West, was robbed in a terrifying ordeal in Paris.

Kim Kardashian had a reported £9m ($11m) in jewellery taken when two men with guns burst into her Paris apartment early on Monday (3 October), bound and gagged herm before locking her in a bathroom.

In her Instagram post, taken with biological daughter Kylie at a car show in Los Angeles on Sunday (2 October) but apparently posted after the robbery, Caitlyn stands beside the original Batmobile, now owned by comedian Jeff Dunham.

Caitlyn, 66, wrote: "Had so much fun with Kylie at Sunday's car show. Here we are with my friend Jeff Dunham's original #Batmobile." Kylie, 19, later posted her own photograph of her at the wheel of the Hollywood prop.

Formerly Bruce Jenner, the former Olympic athlete married Kris in 1991 and became Kim's stepfather. Her biological father Robert died in 2003. Bruce announced her identity as a woman in 2015 and was widely praised for her bravery.

However some of Caitlyn's Instagram fans said that it seemed insensitive to post a photograph of her having fun just hours after Kim was begging for her life and terrified she was going to be raped.

One Instagram user commented: "How is it that everyone else in your 'family' is respectful enough not to post trivial shit hours after Kim is bound and gagged at gunpoint but you post pictures of yourself with a car? Super classy."

Another wrote: "Are you kidding me? Your daughter has a gun held to her head and this is what you are posting."

Had so much fun with Kylie at Sunday's car show. Here we are with my friend Jeff Dunham's original #Batmobile

A photo posted by Caitlyn Jenner (@caitlynjenner) on

Police believe the two robbers may have tailed Kim for some time, while one former bodyguard has said she was partly to blame for "flaunting" her jewellery on social media. The 35-year-old reality TV star is now back in the US with husband Kanye West and her children North, 3, and 10-month-old Saint.

Kim Kardashian
Kim Kardashian has now flown back to the US after being held at gunpoint during a robbery in Paris Matt Winkelmeyer/Getty Images