Yesterday, four staff at Sky News' south-west London headquarters were questioned by officers from North Wales police, after the broadcaster mistakenly showed on air a Twitter feed featuring the 19-year-old woman's name last month.
The error occurred as Sky News reported on the various Twitter users who had allegedly disclosed the name of the victim of Sheffield United footballer Ched Evans following his conviction for rape.
Police said that a formal interview took place with Sky News, and the investigation will continue.
"The case, as will all other cases in the investigation into the naming of the victim on social media sites, will be referred to the Crown Prosecution Service and the Attorney General's office," said the force in a statement.
"DCI Steve Williams confirmed that Sky News has fully co-operated with the investigation. Sixteen men and women throughout North Wales and South Yorkshire have been arrested and bailed during the investigation so far."
The police added: "The force is reminding people that the law gives rape victims and other victims of serious sexual offences, anonymity for life and that if anyone publishes a victim's identity they will be subject to investigation and possible criminal proceedings."
In a statement issued to The Guardian, Sky News said that the mistake was down to a "technical error", and it has already apologised to the victim and her family.
"Yesterday we met with North Wales police to demonstrate and explain the technical error which caused the inadvertent broadcast of the victim's name in a recent serious sexual assault case," said the broadcaster.
"The name was on screen for a fraction of a second and was visible only when viewed in slow motion. We apologised to the victim and her family as soon as we became aware of the error and are co-operating fully with the police."
Evans was jailed for five years last month at Caernarfon crown court after he was found guilty of raping the woman who was "too drunk to consent".
The CPS will now decide whether to press charges against Sky News.
It has been a difficult few months for the rolling news broadcaster, as media regulator Ofcom recently said that it will investigate revelations that Sky hacked personal email accounts for stories on 'canoe man' John Darwin and a suspected paedophile.
> Sky News boss admits broadcaster 'broke the law'