If your accommodation has private kitchen, the rent is high and your income low, there is a possibility of applying for a housing benefit. The amount of the subsidy is calculated based on the number of people living in the apartment, the size of the apartment, the rental amount and the total earnings of the household.
You can read more about 'Boligstøtte' (housing benefit) and apply at https://lifeindenmark.borger.dk/housing-and-moving/housing-benefits
Your residence permit may require that you are able to support yourself economically, so check that before you apply.
AU Housing doesn't give advice on housing benefit and you will have to contact borger.dk directly.