Confused on how to file/claim for my daughter who was a dependent in school at a University for half of last year, but then got married right after graduation.

You can claim your married dependent as long as she is not filling her own return, not filling married filling joint, and qualifies as your dependent. Exceptions apply. She will have to meet other tests such as:

 

• Relationship Test: Your child can be your son, daughter, stepchild, eligible foster child, brother, sister, half-brother, half-sister, stepbrother, stepsister, adopted child or an offspring of any of them.
• Age requirement: Must be under age 19 or, if a full-time student, under age 24, or permanently and totally disabled.
• Residency: Must live with you for more than half the year. Exceptions apply.
• Financial Support: She did not provide more than half of her own support

For additional information see the link below 

 

Rules for Claiming Dependents on Taxes

 

https://turbotax.intuit.com/tax-tips/family/rules-for-claiming-a-dependent-on-your-tax-return/L8LODbx94#:~:text=You%20generally%20can%27t%20claim%20someone%20who%27s%20married%20and%20files%20a%20joint%20tax%20return.%20Say%20you%20support%20your%20married%20teenage%20son.%20If%20he%20files%20a%20joint%20return%20with%20his%20spouse%2C%20you%20likely%20can%27t%20claim%20him%20as%20a%20dependent.