First of all, you need to tap the calendar icon on your homescreen. It is by default present on your main homescreen but in case you have moved it elsewhere, you can open it from there.
Tapping the calendar will show you the calendar in the way you left it earlier. Select the Month view from the bottom menu.
Now you will see the whole month in front of you. If the event you want to delete exists in the same month, select the date in which it appears by tapping on the date.
Once you do that, you will see a list containing all the calendar events you have scheduled for that particular day in the bottom half of the screen. Tap on the event you want to delete.
After that, you will be taken to the event’s page where you will see more details about it. Tap on the Edit button on the top right.
By tapping the Edit button, you will now be able to see the event opened up on your iPod Touch. Just scroll to the bottom of the screen where you will find the red Delete Event button.
Tap the Delete Event button to delete the event. There you go. You have successfully deleted a calendar event from your iPod Touch.