Hi,
a master can in itself give the right to Unemployment benefits after the rule for newly graduates.
However, the following conditions must be met:
1. your education is public recognised. I think it must be when you receive SU.
2. your education must have a duration of at least 18 months/3 semestre
3. you have the right to take any job with one day notice after graduation. If you are EU-citizen your self you can take any job.
If you are a non-EU you can still have right to take any job because you are spouse of EU-citizen working in Denmark.
We do not help with residence/work permit. If you are in doubt whether you have the right to work in Denmark after graduation
I will recommend to contact SIRI, https://www.nyidanmark.dk/en-GB/ContactUs/Contact%20SIRI.
If you think you will be entitled to unemployment benefits, its very important that you contact your A-kasse at latest
14 days after graduation and ask to be registered with graduate status/and apply for benefits.
Best regards,
Anders Weber, A-kasser.dk