Irreligious theism
Irreligious theism is the belief that there is a higher being, but doesn't follow organized religion, this belief can be often confused for deism, however irreligious theists often believe that god can still interfere in the world, also irreligious theists believe in supernatural events like miracles, while deists don't believe in that. The only thing that is common to irreligious theism and deism is belief in the God who created the world.
Irreligious theists can pray without necessarily going through a classic group place of worship (mosques, synagogues, churches) and without physical intermediary, only by thought,or in a chosen, isolated personal place. One can believe in a personal God without believing in or subscribing to the doctrines of an organized religion.
They don't need religion to help to distinguish good from evil, humans being have consciousness.They can live without depending on religious descriptions telling them how to behave and even sometimes hurt them in their feelings or desires for the cause described in religious books (ex: when all religions practically reject LGBT+ people, which can push them to harm themselves or even push parents to send their children to religious conversion therapies to make them "change" because the religious books have decreed by their writings that this was not "correct") and because of the religious writings it prevents people who think that they are not compatible, from linked belief in god and personal convictions feel obliged to belong to a religious group and do not think that irreligious theism can exist, and that there are no constraints or restrictions on believing in god without going through a religion.
You're also irreligious if you do believe in god but don't belong to a religious group or attend religious services. The ir- prefix, not, is attached to religious, "believing in a religion.
Famous irreligious theists from history include Austrian-American mathematician, logician, and philosopher Kurt Godel, American rapper Tupac Shakur and American author Martin Gardner.
Theology