To be considered a "full-time student", your Daughter would have to have been enrolled full-time in school during any part of at least five calendar months during 2017. So unless she was a High School student for at least two months of the year in addition to the program she started in October, then she would not qualify as a "full-time student".
Even though your Daughter may not meet the definition of "full-time student", you may still be eligible to claim her as a Dependent on your Tax Return. Please review the qualifications for claiming someone as a Dependent in the TurboTax FAQ below:
https://ttlc.intuit.com/replies/5187060
[Edited 02.03.18|7:40PM]
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