The outing comes following Andrew Mountbatten-Windsor’s arrest on Thursday

Princess Eugenie made her first public appearance this morning since her father, Andrew Mountbatten-Windsor, was taken into police custody last week.

The 12th in line to the throne was photographed alongside husband Jack Brooksbank collecting coffee from Hagen Espresso Bar in Notting Hill, west London.

Eugenie opted for a relaxed look, wearing Nike trainers, blue leggings and a jacket paired with a North Face cap.

Her husband was seen chatting on his mobile phone while sporting a brightly coloured bobble hat as the couple stood on the street outside the café.

Princess Eugenie and Jack Brooksbank return to UK after spending time in Switzerland (stock picture)

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The outing comes following Mr Mountbatten-Windsor’s arrest on Thursday on suspicion of misconduct in public office.

The former prince spent 11 hours being questioned by police on what was his 66th birthday, while officers conducted searches at his Sandringham property before releasing him under investigation.

Authorities have since carried out several days of searches at Royal Lodge in Windsor, Mr Mountbatten-Windsor’s former residence.

The allegations centre on claims that Mr Mountbatten-Windsor passed sensitive information to convicted paedophile Jeffrey Epstein during his tenure as the UK’s special representative for international trade and investment.

Andrew Mountbatten-Windsor was arrested last week in connection with allegations of misconduct in public office | GETTY

Eugenie had been on a skiing holiday in the exclusive Swiss resort of Gstaad with her family when news of her father’s arrest broke, and sources indicate she was left “in a state” by the development.

A fellow diner who spotted her at Restaurant Waldmatte told Hello!: “I was surprised to see her because I thought she would be keeping a low-profile in light of everything that has been going on.”

The princess was accompanied by Mr Brooksbank, their sons August and Ernest, and friends at the eaterie.

Both Eugenie and her sister Beatrice have reportedly been left “appalled” and “embarrassed” by revelations contained within the recently released Epstein files.

Princess Eugenie was seen enjoying a half-term ski break in the exclusive Swiss resort of Gstaad just one day before her father, Andrew Mountbatten-Windsor, was arrested

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The whereabouts of Eugenie’s mother, Sarah Ferguson, have gained traction following an extended period away from public view.

It has since emerged that Fergie spent several weeks at the exclusive Paracelsus Recovery Clinic in Zurich, which charges £13,000 per day, before travelling to both the French Alps and the United Arab Emirates.

Meanwhile, the Government is expected to consider legislation that would formally remove Mr Mountbatten-Windsor from the line of succession, though any such move will await the conclusion of the ongoing police investigation into the King’s brother.