In short: No worries, your profile information is safe!
All information is encrypted and can only be accessed by presenting your phone's passcode or your fingerprint. On top of that you can set a PIN code in the Authentiq ID app for even greater security. The secret keys for encryption and signing actually never leave your phone and are not included in any backup. Instead, create a printout of the keys and keep that safe at home to easily be able to restore your identity on a new device.
And for your peace of mind, you can also remotely wipe the information using this printout.