It doesn't actually say but the following quote from the article could suggest there is indeed an injunction/interdict in place
The rumours relate to Ms Sturgeon’s private life, but details cannot be disclosed for legal reasons.
The rest of the article pasted below
NICOLA Sturgeon yesterday rubbished claims she’s living an “exotic double life” amid a torrent of gossip about her in high circles.
Salacious rumours about the First Minister’s private life have swept Holyrood and Westminster in recent months.
But Ms Sturgeon laughed off the claims in an interview with The Sunday Times, where she told how she’d heard them all.
The First Minister added: “This sort of exotic double life that I’m supposedly leading is a damn sight more interesting than the actual life I’m leading.
“It does not have a scintilla of truth or basis in reality. It is just so completely off the wall.”
Gossip about Ms Sturgeon has been circulating for several years in political circles and on social media.
But the claims - which her top aides have been aware of - have intensified in recent months.
The rumours relate to Ms Sturgeon’s private life, but details cannot be disclosed for legal reasons.
In the interview, the First Minister also spoke out against ***ism and misogyny, and said when she was a rising SNP star she encountered sleazy men.
She said she had an “uncomfortable” lunch in her early 20s with a senior journalist who leered at her chest.
Ms Sturgeon said the #MeToo movement had helped her to realise she had tolerated male behaviour that by today’s standards was unacceptable.