@311i3 but, wasn't the symbol is used incorrectly? I could be wrong tho
edit: especially caduceus. The right one is Aesculapius. Only one snake in the staff.
@anime06 the snake is a symbol of dual nature: death and life, damnation and redemption, illnes and healing, poison and antidote
an article on the question from the ambivalent meaning of the snake in western culture https://orthodoxartsjournal.org/the-serpents-of-orthodoxy/