After joining the "Violet Eye," Aiven was automatically labeled as official. Even if his wizard identity was exposed, as long as he wasn't caught conducting desecration research, the church couldn't do much to him on the surface.
Plus, with the "Iron Cross Medal" blessed by the Goddess as a safeguard, Aiven's wizard identity was no longer a ticking time bomb about to explode.
As for whether the higher-ups in the "Violet Eye" had considered that someone might refuse to join a secret wizard organization.
The answer is clearly yes.
After obtaining borrowing qualifications, from the access to reading books, it was clear that the current junior members could not remotely touch the core of the organization.