The most common and most likely answer to this crossword clue is the 5 letter word FAITH
I've seen this crossword clue in The Daily Telegraph
F
A
I
T
H
More clues leading to the result FAITH
- Trust I placed in big hospital
- Expression of religion suitable when going round a hospital
- Priest rejecting expression of doubt about core of his religion
- Note about sex and religion
- Agree to include dealer’s third heroin conviction
- Trust porky husband to eat last of chilli
- UEFA I think embodies trust
- Footballers must have it on hospital trust
- Trust in a woman
- A woman’s religion
Buddy explains!

The straight part
We know that "Trust/a woman" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case trust/a woman = faith.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 FAITH mean?
FAITH noun- A trust or confidence in the intentions or abilities of a person, object, or ideal from prior empirical evidence.
- The process of forming or understanding abstractions, ideas, or beliefs, without empirical evidence, experience or observation.
- A religious or spiritual belief system.
- An obligation of loyalty or fidelity and the observance of such an obligation.
- Credibility or truth.