The Priests of Asklepios is a main quest in Assassin's Creed Odyssey where you aim to gather information about your mother, Myrrine.
It's actually sub-divided into three different quests at three separate locations.
Here's a really brief walkthrough of The Priest of Asklepios in AC Odyssey.
As you can see in the screenshot above, there are three different quest symbols on the map. They indicate the location of each priest that you have to talk to.
Priest 1 - Written in Stone
This priest will choose not to tell you about Myrrine until you persist further. It involves a lot of walking and following the priest around the sanctuary.
He will talk about the words on tablets and your character will see if it's the right story.
This quest also ends with some combat. Full details: Written In Stone
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Priest 2 - A Heart For A Head
If you talk to this priest, you will activate a side quest where you have to find a sacred bull (white in color).
Full details: Assassin’s Creed Odyssey: A Heart For A Head Walkthrough
Priest 3 - Enough Is Enough
This quest is pretty simple. All you have to do is to kill four or five snakes in the bathhouse.
He won't give you any information except another name.
In a nutshell
This quest (The Priests of Asklepios) is a rather lengthy one because each priest has his own side quest for you to complete first.
Hopefully this guide / walkthrough has been helpful for you.
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