Aden acquired dual nationality after moving to Australia when she was 6 and travelled to Syria from there in 2014 to join Islamic State, leading to Australia stripping her of citizenship last year.
While it is unclear where Aden will be deported to, Turkish authorities are referring to her as a New Zealand citizen in official documents.
RNZ has approached the Ministry of Foreign Affairs and Trade for comment.
Meanwhile, the Government has been refusing to disclose details on the welfare of the woman and her two children.
The Ministry of Foreign Affairs has previously told RNZ it is giving them consular assistance.
But citing privacy reasons, it has not provided information on their welfare, and whether the woman has been charged, or is being deported.
Earlier this week the announcement that Australia had taken away the woman's citizenship led to Prime Minister Jacinda Ardern lashing out at the decision and accusing Australia of walking away from its responsibilities.
Ardern and Australia's Prime Minister Scott Morrison discussed the matter in a phone call on Tuesday night with Ardern labelling the talks as "constructive".
A statement released afterwards said Australia and New Zealand are "working through those issues in the spirit of our relationship".