"People need to know what activity she was involved in in Syria and what activity she has been involved in here in Ireland as well".
Speaking at the Dublin Mid West by-election count, Mr Varadkar confirmed that social services would protect and help care for Ms Smith and her baby daughter when lands back on Irish soil.
Ms Smith has denied being involved in violence.
"Isis bride" Smith, who is linked to Islamic State, escaped from a Kurdish forces detainment camp in Syria last month.More news: Hillsborough stadium disaster: Police Commander not guilty of manslaughter
She additionally claimed she had been visited greater than as soon as by the Federal Bureau of Investigation for questioning, they usually had taken her fingerprints and DNA.
In the case of Ms. Smith's child, established procedures for her care will be followed.
"On her arrival in Dublin, Lisa Smith was met by An Garda Síochána", Justice Minister Charlie Flanagan said in a statement.
At one stage during her military career with the Defence Forces, Ms Smith had worked on the government jet while she was with the Air Corps.More news: England coach Chris Silverwood to leave New Zealand tour
The decision to bring her home was taken following weeks of intensive discussions between Foreign Affairs officials and the Turkish authorities, who agreed to her deportation.
"She is now being detained at a South Dublin Garda station under the provisions of Section 30 of the Offences against the State Act, 1939 as amended".
Irish Taoiseach Leo Varadkar said she should have the right of return to Ireland and that removing her citizenship would not be right or compassionate.
The Department of Foreign Affairs and Trade said at the time: "As in all cases where Irish citizens are in distress or danger overseas, the Department will continue to engage with partners and provide appropriate consular advice and assistance".More news: Zorc sure Sancho won't push for the January exit of Dortmund