iTunes imposes a 90 day wait period before a device can be associated with a different ID. If iTunes support only removed all devices associated with your ID, this does not override the 90-day wait period. From http://support.apple.com/kb/HT4627:
"Removing a device from your Apple ID does not override the 90 day timer. The timer must complete 90 days from the day the device was associated before it can be associated to another Apple ID."
Unless iTune support can override the wait period for you, you have no choice but to wait if you want to download it from iCloud. If your purchases music is on any of your iOS deivces, you can transfer it to the iTunes library on your computer by authorizing your computer for the Apple ID(s) used to purchase the music (in iTunes, Store>Authorize This Computer), then connecting your device to your computer, opening iTunes, and going to File>Devices>Transfer Purchases.