AA 5591 then QR 8188 at Houston
Dallas-Fort Worth → Houston → Liege
Timetable, Houston time
00:06AA 5591 from Dallas-Fort Worth at the gate
21:20QR 8188 to Liege leaves the gate
21 h 14 apart on the timetable
QR 8188 leaves 21 h 14 after AA 5591 arrives on the timetable: more than half a day, so not a connection we count.