The most common and most likely answer to this crossword clue is the 7 letter word ECSTASY
I've seen this crossword clue in The Sunday Telegraph
E
C
S
T
A
S
Y
More clues leading to the result ECSTASY
- What could give sect, say, great delight?
- Delight for mad cats? Yes!
- Drug treated stye sac
- City to stop receiving investment from Sweden – a happy state
- It should stimulate transport
- No problem to go around 18 ton transports
- Blissful state of cats? Yes, if groomed
- Religious experience in weird sect, say
- Cold stone etched in simple pleasure
- Drug resulting from criminal acts? Yes
Buddy explains!

The straight part
We know that "Religious experience" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case religious experience = ecstasy.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does ECSTASY mean?
ECSTASY noun- Intense pleasure.
- A state of emotion so intense that a person is carried beyond rational thought and self-control.
- A trance, frenzy, or rapture associated with mystic or prophetic exaltation.
- Violent emotion or distraction of mind; excessive grief from anxiety; insanity; madness.
- The drug MDMA, a synthetic entactogen of the methylenedioxyphenethylamine family, especially in a tablet form.
- A state in which sensibility, voluntary motion, and (largely) mental power are suspended; the body is erect and inflexible; but the pulse and breathing are not affected.
- To experience intense pleasure.
- To cause intense pleasure in.