In my old church, people liked to wax poetic about how God's love is indescribable, to the point where it's like describing the taste of salt to someone who can't taste it.
The way I experience it is as a deep, personal sense of being known completely and loved despite (or even because of) everything. I typically feel it inside of my chest, like a blanket wrapped around
my Gem the core of my being. It's sort of like the security I feel with alias-pseudonym, sometimes including the romantic context. But with a deeper knowledge and much longer personal history to give it weight and significance.
I feel something similar when I am being divinely reassured about something in particular. I think the word most people use for that feeling is "frisson," and that it's normally experienced when you were in doubt about something but then had it confirmed for you that you were right all along.