Genderfluidity and Intersexuality are not new additions to the human experience. All the way back in Grecian times, these ideas and identities were already a part of written history. This is shown in Gods and Goddesses like Loki, Dionysus, and aptly named Hermaphroditus. The Last one is where we get the word Hermaphrodite, which means a person or other organism that has both male and female sexual organs either by accident or by nature.
Loki- Commonly seen to be shifting form, from animalistic to male and female. Truly genderfluid.
Dionysus- Dionysus is depicted as having both masculine and feminine characteristics, bordering on both in a textbook display of androgyny
Hermaphroditus- As the name suggests, this deity is one that exhibits both masculine and feminine physical traits and sexual organs.
A deity is a generally powerful individual that is attached to an aspect of a citizens life, and is usually either worshipped or respectfully feared. What keeps monsters and deities separate is deities usually have a sphere of influence and are worshipped by the mainstream believers. Monsters could also be worshipped, but it was seen as taboo, and was a part of fringe worship.
Deities were worshipped in conjunction with the importance of their sphere of influence in the society of beleivers. War deities like Ares, Nergal, and the Morrigan were either worshipped or feared and held the most sway during war or times of great violence. Coastal cities gave more reverence to nautical deities such as Poseidon, Nephthys, and Kukulcan. The farming villages would pray to Ceres, Parvati, and Dagon in order to ensure bountiful harvests. Places that put more emphasis on learning, like Athens would have patrons like Athena, Thoth, or Quetzalcoatl.
Not all gods are created equal. Where some are monotheistic powerhouses, there are other gods who have died multiple times in myth.
The primary limit to polytheistic deity's powers are the other deities. In myths where one deity goes on a rampage, it is more often than not another deity that goes and stops them. This is done in many ways, such as simply reasoning or to go so far as to offer themselves as a sacrifice to appease the other deities rage.
The secondary limit on a deities power is their sphere of influence. Again, this is mainly in polytheistic mythologies, where the deites "specialize" in certain areas. Since Apollo is an archery god, praying to him so that your arrow flies straight would fall under his sphere of influence, but praying to him for luck would not, since that would fall under the dominion of Tyche, the goddess of luck.
Jehovah- God of Abraham
Odin-All Father
Brahman- the one who is all
Amaterasu- the divine sun
Ra- also the divine sun
Morrigan- Triune goddess
Anu- Sky God
Zeus- God of the Heavens
Poseidon- God of the Depths
Hades- God of the Dead
Onyame - Heaven, or Sky
Kali - Goddess of Destruction