A common trope in fiction involving things like magic or aliens is the concept of the "Masquerade", wherein the fantastic elements of the setting are kept secret from most of society. While the in-universe reasons for this vary, the main purpose of it as a writing tool is generally to make sure that the world of the setting outside of the fantasy/sci-fi elements most closely resembles real-life, to cut down on complicated alt-history worldbuilding and/or make the setting more relatable to the reader.
However, realistically, that ulterior motive requires a heck of a lot more than just keeping humans from finding out that the fantastic elements exist. If that were the only rule, what's to stop, say, Mircalla Karnstein from using her vampire mind control powers on the political elite to legalize gay marriage in the Victorian era? What's to stop some telepath from posing as a prophet, impressing the humans of ages past with their "divine knowledge", and starting a religion around themselves? What's to stop any particularly powerful member of these groups from gaining influence on human politics and development behind the scenes?
It seems pretty clear that most masquerades, for whatever reason, aren't just about not getting caught. They're implicitly also following something akin to Star Trek's Prime Directive:
As the right of each sentient species to live in accordance with its normal cultural evolution is considered sacred, no Starfleet personnel may interfere with the normal and healthy development of alien life and culture. Such interference includes introducing superior knowledge, strength, or technology to a world whose society is incapable of handling such advantages wisely. Starfleet personnel may not violate this Prime Directive, even to save their lives and/or their ship, unless they are acting to right an earlier violation or an accidental contamination of said culture. This directive takes precedence over any and all other considerations, and carries with it the highest moral obligation.
Except in this case, it's being enforced on people secretly living within a society rather than generally existing outside of it, and also it's not "introducing superior knowledge", it's "shaping human development to more benefit members of the secret society". There's clearly a set of rules in place forbidding this secret society from making human culture substantially different from what it would have looked like if this society didn't exist at all.
But what would that set of rules actually look like? Setting aside the in-universe purpose these rules would serve (as the actual in-universe justification of masquerades is an infamously shaky topic a lot of readers aren't satisfied with), assuming the motivation is there, what would be the best way for said rules to be laid out?
What is the simplest set of rules a secret society can follow in order to prevent their existence from having an influence on human culture and the march of history?