When I use the Adobe search function to get to Adobe Digital Editions, after I click I am forwarded to InDesign?
I have the exact same issue and it seems to possibly be related to location. Try clearing your cookies/cache and visit the site again. This time set your location as United States when it prompts you. Seems like a lot of people outside of the US get redirected to InDesign CC and I can't find anywhere to report website issues to Adobe.
just spent best part of an hour onto livechat to sort out this same problem and after going backwards and forwards and transferring me to customer services his response was to send me to this forum ..... not impressed