The serpent, from the "garden of Eden" was not named as Satan in the old testament. The word "satan" with a lowercase S, refers more to the idea, concept of evil and is used as a title and role rather than a name i.e. Satan, with a capital S, the actual person.
If I am not mistaken... bearing in mind there are different bibles... the mention/connection of Satan being "the serpent" was only in the last book, Revelation (and Revelation has connections with the book of Daniel), where Satan was called "that ancient serpent" and referencing the Dragon/the Devil, which in real-life refers to Satan and the Kundalini being many thousands and thousands of years older than abrahamism; these references are defamations against Satan through slander and libel. Likewise, in traditional Asian culture, Dragons are loved; in (((media))), Dragons are depicted as evil and monsters.
More to the point is "god" created the serpent to be more cunning than all other Animals (the bibles admit that); therefore, the serpent was living its best life, doing cunning-ness and being cunning as "god" made it to be... not Satan. "god" decided to make a very cunning Animal who went up to Eve and said, "Eat the fruit!". "god" hurt Eve, and Adam - Adam, being the "male", is more responsible/more punishable of the two (including in archaic "law" in history in real-life). "god" damned Adam and Eve; not Satan; kicked them out and forced Eve to be in a lot of pain when giving birth. Such a loving "god" - especially after sending its own "son" to be tortured to death... It boggles the mind how xians put "good" for evil and "evil" for good, and blame Satan when the bibles admit "god" is the actual devil, and Satan didn't do anything in comparison.
So with "god" sending "jesus" to save us from the serpent that it created in the first place to be very cunning, after which "god" damned Adam and Eve and all of Humanity... erm... yeah... we have to... think that it all makes sense...
"god": makes very cunning serpent
"god": knows precisely what it made
"god": knows in advance what the creature it made will do, because it created that creature to be that and to do that
"god": watches cunning serpent go up to Eve
"god": Why art thou not nekkid?
Eve: You're god. You know everything. You know what was about to happen. You know why, and who, and when it all began before I did.
"god": FFFFFFFFFFFFFFFUUUUUUUUUUUUUUU!!
some time later
"god": ignoring that it made people nekkid originally Stop being nekkid! It's disgusting!
some time later
"god": ignoring that it made the serpent on purpose to hurt, curse and damn Adam, Eve and Humanity Aww, shiii- Wait! I know what happened! Satan is the one who did you wrong! Heh-heh. (He saw how evil I AM in heaven, so He decided to leave because He couldn't stand any more of my evil shit.) As such, I, the lord, your god, will send my son for you to torture to death - and this is the only way - so I can welcome you back to me! xD