You can only delete a photo from a challenge within 5 minutes of submitting it!
After that, you will need to swap the image.
To delete a photo, hover over it with your mouse in the 'Top Photographer' ranking (the default when you go to any challenge).
A "Trash Can" icon will then appear and pressing on it will open a 'remove' button.
Press the button and the photo will be removed.
Hover over your photo in the 'Top Photo' ranking until a "Trash Can" icon appears.
Pressing it and confirm by pressing the 'Remove' button.
*Note*: You can still delete the photo from your profile at any time.
Deleting a photo from your profile does not remove it from the challenge!