When trying to achieve a clean edge on the type in your paragraph, one must push the opening punctuation (typically an open-quote) beyond the vertical visual line of alignment–make the puncutuation “hang”.
“Hanging puncutation” is astoundingly simple in InDesign. First, select the text frame, then go to the Story palette (if it’s not in your workspace, bring it up by menuing Window>Type & Tables>Story) and check the “Optical Margin Alignment” checkbox on that palette. The program will do the rest, and straight away.