She conceded: "Even us as women are becoming more male in our criticism of each other."
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Paloma acknowledged the perks of fame and success, but she also warned that being a female star has a "dark flip side".
She wrote: "There's a huge amount of pressure particularly on women to appear gorgeous/happy/effortless all the time. The hours are out of control and if women have kids aswell their hours are even greater because when you want to sleep you can't. And yet we judge our women so harshly. (sic)"
Then, Paloma claimed that Caroline - who was found dead at her London home on Saturday - had "a bigger undiagnosed illness going on behind the scenes".
She wrote: "Every relationship is scrutinised, every outfit, every big night, every foot wrong (and yes she did put some feet wrong but I am of the opinion she had a bigger undiagnosed illness going on behind the scenes) (sic)"
Paloma made the claim shortly after the late TV star's cause of death was ruled as suicide.
An inquest into her passing opened on Wednesday, where her cause of death was confirmed.
No members of the Love Island presenter's family were present for the hearing at Poplar Coroner's Court in east London.