This happened to me with Acrobat.
The first thing to do is to quit out of Creative Cloud Desktop (choose Quit from the little gear icon). Relaunch it from the Applications folder, and see if InDesign is still listed.
If that doesn't work, try deleting the "opm.db" file as described in this Adobe Help document:
I've see some other suggestions to install a different language, then reinstall the one you really want, too.
I would try creative.adobe.com and go to the download center. Find InDesign
there and try it again.
I can tell you since I had this problem myself that that will not work. If you do that, it jumps you immediately to Creative Cloud Desktop, but CCD already shows InDesign is there with no option to download.
The poster's problem is that the database file for CCD is screwed up and probably needs to be replaced. My suggestion came from an Adobe Cloud support engineer.
I deleted my InDesign program
Did you actually trash the application folder or use the uninstaller? On OSX the uninstall program is an alias to the support uninstall folder:
So you probably haven't deleted the unistall app, which I think you need to run
Thanks Steve. Good to know.
I didn't trash Acrobat XI, but one day it just came up with a message that my license had expired! Of course, it SHOULD have been viewed as part of my subscription to Creative Cloud. So I ran the uninstaller, which uninstalled it totally from the Applications folder.
However, Creative Cloud Desktop was totally oblivious and still showed it as being installed.
So I went through these steps to fix it:
(1) Quit CCD and relaunched. No effect.
(2) Uninstalled CCD and reinstalled. No effect.
(3) Contact the Adobe engineer and got the instructions I posted to delete the opm.db. THAT didn't work.
(4) Finally, I had an installer for Acrobat XI and I reinstalled it. When I reinstalled, it was immediately recognized by CCD as being part of my subscription!
I'm posting this in case that's helpful for anyone else too. I'm guessing that if removing the opm.db file doesn't work, the next thing the poster should try is to using the trial installer for InDesign. Mostly likely, CCD will then rehook up the subscription.