AA 4955 then QR 8167 at O'Hare
Lexington → Chicago → Doha
Timetable, Chicago time
05:59AA 4955 from Lexington at the gate
04:40QR 8167 to Doha leaves the gate
22 h 41 apart on the timetable, overnight
QR 8167 leaves 22 h 41 after AA 4955 arrives on the timetable: more than half a day, so not a connection we count.