Yes, it would be the same as if someone married a single parent. The dependent does not need to live with both Taxpayers for the whole year as long as one of the Married Filing Jointly Taxpayer can fulfill that requirement.
As long as she lived with "one of you" the entire year and she did not supply more than half of her own support, as well as meeting the income requirement, she can qualify as your dependent.
Whether claiming her will give you any tax breaks is another question.
The American Opportunity Tax Credit is only for students in the first four years of a degree (Freshman, Sophomore, Junior Senior). It isn't clear what "Medical School" means. There is also the Lifetime Learners credit you might be eligible for.
She would not qualify you for credits such as the Child Tax Credit.
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