kua mate ...
1. are obliged, obligated, there's no option, have to - used idiomatically sometimes to express a difficulty that has occurred that has to be delt with.
Ai! I wareware atu taku pāhi ki te tari. Kua mate taku kuhu atu i taku whare mā te matapihi o te wharepaku (HKK 1999:192). / Oh dear! I've forgotten my bag at the office. I'll have to get into my house via the window of the toilet.
Hōri: Kei hea tō kī mō tō tari? Hine: Auē! Kei te kāinga. Hōri: Kua mate tāua ki te hoki ki te tiki, ka hoki mai. / George: Where is your key for your office? Hine: Oh dear! It's at home. George: We'll have to go back to get it, and come back here.