Hallo Sky,
I am sorry I don't speak German.
For what I understand you want to recover your old account, registered under the email address @gmx.de.
When you delete an account, it is possible to simply create a new one using the same address. I am not sure if you have tried this (I tried it myself and got to the last step with no problem). In case that you were not able to do so, could you please indicate me the exact error message you received?
If you no longer have your gmx.de address, and want to have your old Sky account registered with your new address, that will be a bit complicated since the previous account was deleted, but I will figure something out.
Please let me know.