Guidance Please! Snowflake Eel & BT Anemone Netflix and Chill Together??

[CaseyNYC]

Hi guys!! We are in our first year of building a reef / marine Tank. We currently have a 95 gallon corner tank with about 120 lbs of live rock, a tomato clown fish living in her medium bubble tip anemone, a maroon clownfish, a 3 striped damselfish, (2) domino damselfish, a coral beauty, a yellow watchman goby, a gorgeous 6 inch snowflake eel and one other 2 inch bubble tip anemone....
well, the snowflake eel is the newest addition to our display tank.. Hes been doing well, eating, hiding, etc.....
I suddenly have noticed him mostly sitting under a rock towards the front of the tank that is occupied by an anemone. The anemone is in the cave area of the rock and the eel is chilling next to him, completely wrapped in his tentacles and just poking his head out of the anemone... The anemone isn’t bothered by him clearly because he isn’t closing up or doing anything that shows stress or unhappiness. They have been like this for 2 days now. the eel has moved to east, and goes right back to the anemone!!
Is this normal? Don’t anemone shock or sting the eels? I’m confused by this..... is it safe to let them hang out together this closely?
(pictures attached)

 

[Tired]

Does the eel move cleanly in and out of its hole, without twitching or any other signs of distress? Does it show any signs of irritation along its flank?

It's possible the anemone isn't stinging the eel for some reason. I'd be a bit worried about its health, if so- a healthy anemone should be sticky/stinging.

How old is the tank, and was it started with ocean live rock or something else? It's strange for a photosynthetic organism to be wedged into a hole like that, what's your lighting like?