The most common and most likely answer to this crossword clue is the 7 letter word INCENSE
I've seen this crossword clue in The Guardian
I
N
C
E
N
S
E
More clues leading to the result INCENSE
- Enrage church hemmed in by pubs close to centre
- Substance burnt in church? Not something evangelicals initiated!
- Something intentionally burnt to be very annoying
- Make madder and nettle perfume
- Enrage local feeling with speech
- Anger shown by home clubs seen off
- It’s burned in church — not so effectively at first
- It might even do this to a Low Churchman!
- Thurible’s contents anger
- Anglican in pub getting directions? Holy smoke!
Buddy explains!

The straight part
We know that "Make" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case make = incense.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 INCENSE mean?
INCENSE noun- A perfume used in the rites of various religions.
- Homage; adulation.
- To anger or infuriate.
- To incite, stimulate.
- To offer incense to.
- To perfume with, or as with, incense.
- To set on fire; to inflame; to kindle; to burn.