B6 1058 then DL 5591 at JFK
Oranjestad → New York → Chicago O'Hare
Timetable, New York time
20:35B6 1058 from Oranjestad at the gate
19:36DL 5591 to Chicago O'Hare leaves the gate
23 h 01 apart on the timetable, overnight
DL 5591 leaves 23 h 01 after B6 1058 arrives on the timetable: more than half a day, so not a connection we count.