The most common and most likely answer to this crossword clue is the 7 letter word PROFANE
I've seen this crossword clue in Financial Times
P
R
O
F
A
N
E
More clues leading to the result PROFANE
- Liable to embrace sweet girl, initially, being vulgar
- Lay academic again cancels start of work
- Irreverent supporters seen on end of terrace
- Academic’s an ethicist primarily, disrespecting all that’s sacred
- Non-religious member of university, an originator of Erastianism
- Gas containing fluorine in place of phosphorus turning the air blue!
- Blasphemous academic — an eye-opener!
- Filthy window around top of house, nothing getting wiped
- Inclined to hold nothing sacred? The opposite
- Inclined to defend footballers being vulgar
Buddy explains!

The straight part
We know that "disrespecting all that’s sacred" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case disrespecting all that’s sacred = profane.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 PROFANE mean?
PROFANE noun- A person or thing that is profane.
- A person not a Mason.
- To violate (something sacred); to treat with abuse, irreverence, obloquy, or contempt; to desecrate
- To put to a wrong or unworthy use; to debase; to abuse; to defile.
- Unclean; ritually impure; unholy, desecrating a holy place or thing.
- Not sacred or holy, unconsecrated; relating to non-religious matters, secular.
- Treating sacred things with contempt, disrespect, irreverence, or scorn; blasphemous, impious.
- Irreverent in language; taking the name of God in vain