、。
My flight got canceled, so I can't leave until tomorrow.
Literal
I [of-の] airplane [of-の] flight [subject-が] canceled became-and, tomorrow until depart-cannot [explanatory-んだ].
欠航 is the specific term for 'flight cancellation' — 欠 ('absence, lacking') + 航 ('voyage/flight'). 欠航になる ('become cancelled') is the set phrase. 便 ('flight, service, mail') refers to a specific scheduled flight. The sentence chains the cancellation to its consequence via the te-form なって.