The 32-year-old star shares six-year-old twins Leo and Penelope, and three-year-old Felicity with husband Paddy.
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Taking to her Instagram page, the beauty shared a drawing of a heart balloon with "be kind" written in the string.
Christine captioned the post: "When you are emptying the shelves at your supermarket please bare in mind that you are emptying the tummy’s of our vulnerable, including my own children. ⠀
"Many children and adults with autism have a very restricted diet, the variation of food they eat is quite often extremely limited.⠀
"Some people with autism and other conditions that include sensory food aversions will go hungry from your greed. ⠀
"The supermarkets have stated that there is enough food, you DO NOT need to empty the shelves putting our vulnerable at risk of further health conditions."
She added the hashtags: "#BeKind #Autism #AutismAwareness #Sensory #LimitedFood #ThinkOfOthers".
Christine was inundated with support from her followers, with many sharing their own difficult experiences in the shops.
One commented: "I cried in the middle of the supermarket last week cause of people’s greed and being unable to get stuff that my son needs for his own needs….. It’s all very upsetting."
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Another wrote: "This is our situation. I’ve got some lovely friends who have given me the only bread my daughter will eat and a lovely local shop keeper who showed me all the penne pasta he has as that’s the only pasta she I will eat and can also be fussy with brands."
Her husband Paddy previously spoke out against Brits who have stockpiled due to the ongoing coronavirus pandemic – leaving the supermarket shelves empty for others.
In a passionate video, he branded those who have panic-bought toilet paper "massive d**kheads".
Last night, Prime Minister Boris Johnson put the entire country on lockdown in his bid to gain control of the deadly disease.
It came as the UK's death toll jumped to 336, including an 18-year-old boy.
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