Please keep in mind that this question also gets at your ability to reflect, identify your short-comings, and describe how you have addressed a situation where you fell short of the mark.
Think about what you did poorly, what you learned, and how you would do it differently next time. Is this event you described an example of something you did poorly? If you faced a similar situation in the future, how would you do it differently having learned from your "failure"? If the story of your coming out doesn't fit as an example of a time you failed, you should reflect on your life and find a better example of something you did poorly and would do differently next time based on what you have learned.