How do you answer how you dealt with an ambiguous situation where you demonstrated compassion for the customer?

The most appropriate way to deal with such a situation is to put yourself in the customer's place and try to understand exactly what they need and how they expect you to meet that need. Chances are, you will not be able to meet all of the expectations they have, but if you treat them with the same dignity and respect you would want for yourself, you can retain the customer and avoid a potentially unpleasant situation.