One of the first people to see Sweden's new princess, Prime Minister Fredrik Reinfeldt, has said she's "very cute".
He added that she looked "very much like her mother. A very calm child".
The full name for the new royal has just been announced and has already caused a stir.
According to Sweden’s English newspaper The Local, not everyone is over the moon about Princess Victoria and her husband Daniel's choice.
Swedish historian Herman Lindqvist said soon after the announcement that it was totally "inappropriate" for a future Swedish monarch to be called 'Estelle'.
"It sounds like a night club queen. It is completely against all Swedish tradition," he continued on daily Aftonbladet's live broadcast.
He also said he could understand that the couple chose the name because 'they liked it' but that this choice could prove harmful for the monarchy itself.
Victoria gave birth to her daughter on Thursday morning.
All the latest on the baby
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