Moving this discussion to the InDesign forum.
WRSetness do you receive any specific error messages? What happens if you open InDesign manually? Also what version of InDesign specifically are you using? In addition which operating system are you using?
Finally for information on how to open InDesign CC please see Launch CC apps after install - https://helpx.adobe.com/creative-cloud/help/launch-creative-cloud-apps.html.