How to order the time and date column in my MySQL table

Question

I would like to formulate my query so that I can achieve the expected output stated below. I tried to achieve the expected output but I'm always getting the actual output that is also depicted below.

I'm using MySQL as my RDBMS.

Ordering Rule:

The ordering rule is all about displaying in sequence each set of time period of each date. For example, September 23 - 26 [Display the first set of time periods] -> next display: September 23 - 26 [Display second set of time periods, if any] -> and so on.

Expected Output:

|      Date         | Start_Time | End_Time
|September 23, 2020 | 8:00 AM    | 9:00 AM
|September 24, 2020 | 9:00 AM    | 10:00 AM 
|September 25, 2020 | 8:00 AM    | 9:00 AM 
|September 26, 2020 | 9:00 AM    | 10:30 AM 
|September 23, 2020 | 9:00 AM    | 10:00 AM 

Actual Output:

https://i.sstatic.net/g9kWV.png

Current Code:

Select DISTINCT timeslot.Timeslot_ID,
timeslot.Date,timeslot.Start_Time,timeslot.End_Time from timeslot
WHERE timeslot.ExamEvent_ID=1 ORDER BY STR_TO_DATE
(CONCAT(timeslot.Start_Time,' - ',timeslot.End_Time), '%l:%i %p - %l:%i %p'), 
STR_TO_DATE (timeslot.Date, '%M %e, %Y')

Answer 1

Use ROW_NUMBER() window function:

SELECT Timeslot_ID, ExamEvent_ID, Date, Start_Time, End_Time
FROM (
  SELECT *, ROW_NUMBER() OVER (PARTITION BY Date ORDER BY STR_TO_DATE(Start_Time, '%l:%i %p')) rn
  FROM timeslot
) t  
ORDER BY rn, STR_TO_DATE(Date, '%M %e, %Y')

See the demo.