Iconoclast - Dogmatic - Telepathica:
Reputation and status within the Imperium are vital, and therefore how you are perceived is of great importance.
Iconoclast Renown:
Iconoclasm doesn't always mean heretical or recidivist action in the Imperium. Its the belief that the current social order isn't sacrosanct. Be it a rich hive noble throwing a fortune into charitable efforts, an Ecclesiarch taking a vow of poverty and donating all his wealth to the poor, a Commissar that rarely executes their troops, or an Enforcer that doesn't immediately resort to physical violence. All these actions are Iconoclast in nature.
This reputation might make some consider you a dangerous radical, just weird, hopelessly naive, or an exemplar of humanity. Many Imperial Heroes are Iconoclasts deep down, being the people whose actions and deeds remind one that, as rotten as the Imperium is, good people still live in it. Few heroes are openly Iconoclastic, either being so early in their lives before being beaten down. Or becoming openly Iconoclastic when they can easily get away with it.
Dogmatic Renown:
The Imperium is Eternal.
The Imperium is the last great bastion against Chaos. It must survive.
The God Emperor established the current social order.
We are beset from enemies without and within.
Dogmatism is the perceived adherence to the Imperial Creed and the dedication to the defence of the Imperium against threats beyond, within, fictitious, and very real. Dogmatism is not Fanaticism. It means the acceptance of the Status quo, through a lack of hope, by being satisfied with one's position, or thinking that there is no alternative.
The more Dogmatic you are perceived to be, the less 'dangerous' you are considered to be. A high dogmatic renown can therefore shield Iconoclast actions.
Telepathica Renown:
The status, influence, and authority of the Astra Telepathica is what you care about. As an Adept of this august organization, its status and your position in society are intertwined. This reputation tracks how much people think you care about the power and status of the Telepathica above the rest of the Imperium.
How this system works:
Dogmatism and Iconoclasm are separately tracked reputations, with the highest renown deciding the dominant perception of you. Actions can be taken to intentionally cultivate a public persona that differs from your actual opinion.
This system does NOT track your actual opinions or beliefs. It tracks what you are believed to be.
Individuals with means and/or influence will not believe your perception at face value.
An example of this is Ciaphas Cain, who if tracked by this system, would be an Iconoclast at heart, but perceived as a diehard Dogmatic.
Your dogmatic or iconoclast renown will be seen in the context of your Telepathica renown. Actions that might be shrugged off if committed a Psyker perceived as not unfairly favouring the Telepathica, might be alarming in the extreme if the Psyker is seen as a Supremacist who'd tear down other Imperial organizations to empower their own.
