Alright before I start heavy-lifting with the CS, I'd like to see if this is ok. How would you all feel about a God of Infinity and Impossibility joining you?
The God would be sort of considered an "outsider" even among other Gods and be rarely worshiped by mortals. As a matter of fact he isn't even that well known. He would go by the title of "The Outsider, The Stranger, Lord of Oblivion". His domains and powers would include things regarding impossibility and infinity (duh) such as the infinite space, a bottomless pit, the largest or the smallest number in existence, etc.
His primary attribute would be madness and fear; madness to represent the insurmountably ridiculous and impossible existence (such as an infinitely large number), fear since any mortal's most primal emotion to the unknown starts with fear. If a man falls into the ocean and sees an infinite black pit of dark waters beneath him, and he feels fear, this God would be the one who's responsible for such and be "with" him.
On the other hand, he is unknowingly somewhat worshiped by intellectuals such as scientists since the exploration of the unknown sheds light on the real nature of what seems impossible. However, he enjoys presenting an infinite number of challenges to be solved to those who dare challenge him in this manner. And eventually, this produces mortals who are mad on seeking out the true nature of this God - also known as knowledge beyond the possible (mad scientists/wizards anyone?).
Ofc I will get more details up with the main cs but this is the idea i'm rolling right now.
Damn why does everyone want to make distant gods.
Alright so the first 'issue' with this is that gods already by technical nature are 'infinite'. Their existence is essentially a certain level of infinite. Now your probably wondering how can their be certain level of infinities. Mathematically speaking there are hundreds of different sizes of infinities, with some infinities being larger then others. There is a good vsauce video that explains that in depth, but a more simple explanation would be like comparing pie to the square roof of 2, each have an infinite number of digits but pie is bigger then the square roof of two.
a God that is more influential then say another less influential god, while both being infinite, is more 'influential' in terms of power and whatnot.
This shouldn't be that concerning to the rp, hence I haven't really mentioned it, but unless you were an elder god (which I will not be adding a 4th), being a more distant god would equate to a 'weaker' god.
Fear is already taken by edgelord mcgoo also.
What you can do, is either make a god based off of illusions (making an illusion of an infinite pit for mortals, keep in mind any god could probably make infinite 'microuniverses' or private dimensions, or even afterlifes, but require time, effort, and commitment to make.
I also like the idea of your 'impossible' existential creations. So you could also make a god whos basis is to defy the laws set about by the elder gods (That isn't technically magic, while magic sort of 'bypasses' the laws of physics such as conservation of matter and energy, it doesn't exactly break them more so becomes an exception.) Examples of this would be reality disortion, corruption, temporarily changing the laws of reality of the mortal world. (Although it will have to be minor as to not be incredibly op) and such.
You can combine both of what I said earlier and in addition madness or whatever if you wish.
This is also fairly midieval teched fantasy world, astronomers would have a little sense of the world outside of earth, and cosmology. While they wouldn't be foreign to the idea of infinite space, it wouldn't be widely accepted unless if your god directly influences that ideas.
@SepticGentlemanIts not so much as they are limited to one planet, the gods have power over the entire physical universe (or multiverse) to a pretty powerful extant, its just that earth is the easiest to domain over since its a lot of commitment and time to put into creating or modifying a planet, putting lifeforms in and balancing all that shit.