October 04, 2016 01:48 PM

Things are going to change for one of America’s most famous families after Kim Kardashian West‘s terrifying ordeal.

A source tells PEOPLE the entire Kardashian-Jenner family “is cutting down on all public appearances for the time being” after Kardashian West, 35, was robbed at gunpoint early Monday morning in Paris.

“This scared everyone,” says the source. “They’re not taking chances …. It was a really scary situation for the entire family and it’s just not worth it to put themselves out there unnecessarily right now.”

Another insider tells PEOPLE the star plans on upping her security significantly.

“[She will have] a much heavier security team,” says the source. “There will be a focus on security personnel who aren’t in traditional clothing. There will be a lot more undercover security.”

And Kardashian West isn’t just going to scale back on public appearances — she’s also likely to pare down her public presence in general, particularly in the way that she approaches social media.

“When something like this happens everything changes,” says the source. “Everything will change. It changes the whole family — how and where they travel.”

“[Kim] will reassess traveling for work and feeling safe,” adds the source.

Kardashian West was held at gunpoint early Monday morning by five masked men dressed as police officers. The reality star was staying at the No Address Hotel while attending Paris Fashion Week.

The men entered the through the service entrance around 2:30 a.m. Sources told PEOPLE that Kardashian West was tied up and locked in her bathroom while the men made off with two cellphones and nearly $11 million worth of jewelry, including a $4 million ring.

“She is badly shaken but physically unharmed,” her rep told PEOPLE.

Kardashian West left Paris on a private jet hours later after police questioning. She has since reunited with husband Kanye West, who has already rescheduled two concert dates on his current Saint Pablo tour.

The source says the star “has been spending all her time with kids and Kanye” and is trying to keep things “as normal as possible.”

“She’s not ready to talk about anything other than being with family,” says the source, who says Kardashian West is “very emotional.”

“She’s barely slept. She’s had no anxiety medication or alcoholic drinks as she doesn’t do any of that stuff,” says the insider. “She’s just got comfort from being around her kids and friends. Her best friends rushed to her side yesterday: Jonathan Cheban, Simon Huck and La La Anthony. They have been her rocks and spent the day with her yesterday.”

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